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  a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    a.Use Part 1 of the Fundamental Theorem of Calculus to find   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    to obtain an alternative expression for   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    c.Differentiate the expression for   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    found in part (b).The Fundamental Theorem of Calculus, Part 1 If   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    is continuous on [   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    then the function   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    defined by   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,      a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    is differentiable on   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    and   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    The Fundamental Theorem of Calculus, Part 2 If   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    is continuous on   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    then   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    where   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,    is any antiderivative of that is,   a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,      a.Use Part 1 of the Fundamental Theorem of Calculus to find   b.Use Part 2 of the Fundamental Theorem of Calculus to integrate   to obtain an alternative expression for   c.Differentiate the expression for   found in part (b).The Fundamental Theorem of Calculus, Part 1 If   is continuous on [   then the function   defined by     is differentiable on   and   The Fundamental Theorem of Calculus, Part 2 If   is continuous on   then   where   is any antiderivative of that is,

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Find the indefinite integral. Find the indefinite integral.

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Select the correct Answer: for each question. -Find the indefinite integral Select the correct Answer: for each question. -Find the indefinite integral   A)    B)    C)    D)


A) Select the correct Answer: for each question. -Find the indefinite integral   A)    B)    C)    D)
B) Select the correct Answer: for each question. -Find the indefinite integral   A)    B)    C)    D)
C) Select the correct Answer: for each question. -Find the indefinite integral   A)    B)    C)    D)
D) Select the correct Answer: for each question. -Find the indefinite integral   A)    B)    C)    D)

E) B) and D)
F) None of the above

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Select the correct Answer: for each question. -Find the integral. Select the correct Answer: for each question. -Find the integral.   A)    B)    C)    D)


A) Select the correct Answer: for each question. -Find the integral.   A)    B)    C)    D)
B) Select the correct Answer: for each question. -Find the integral.   A)    B)    C)    D)
C) Select the correct Answer: for each question. -Find the integral.   A)    B)    C)    D)
D) Select the correct Answer: for each question. -Find the integral.   A)    B)    C)    D)

E) A) and D)
F) A) and C)

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Find the area of the region that lies to the right of the y-axis and to the left of the parabola Find the area of the region that lies to the right of the y-axis and to the left of the parabola

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Find a function (x) such that Find a function (x) such that   for   and some number .    for Find a function (x) such that   for   and some number .    and some number . Find a function (x) such that   for   and some number .    Find a function (x) such that   for   and some number .

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Evaluate the definite integral. Evaluate the definite integral.

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Find the general indefinite integral.Select the correct Answer Find the general indefinite integral.Select the correct Answer   A)    B)    C)    D)    E)


A) Find the general indefinite integral.Select the correct Answer   A)    B)    C)    D)    E)
B) Find the general indefinite integral.Select the correct Answer   A)    B)    C)    D)    E)
C) Find the general indefinite integral.Select the correct Answer   A)    B)    C)    D)    E)
D) Find the general indefinite integral.Select the correct Answer   A)    B)    C)    D)    E)
E) Find the general indefinite integral.Select the correct Answer   A)    B)    C)    D)    E)

F) C) and D)
G) A) and C)

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Evaluate the integral. Evaluate the integral.

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11ebbd2f_ce8c_3691_8a0a_3b208a9e9055_TB8680_11

Evaluate the integral.Select the correct Answer Evaluate the integral.Select the correct Answer   A)    B)    C)    D)    E)


A) Evaluate the integral.Select the correct Answer   A)    B)    C)    D)    E)
B) Evaluate the integral.Select the correct Answer   A)    B)    C)    D)    E)
C) Evaluate the integral.Select the correct Answer   A)    B)    C)    D)    E)
D) Evaluate the integral.Select the correct Answer   A)    B)    C)    D)    E)
E) Evaluate the integral.Select the correct Answer   A)    B)    C)    D)    E)

F) A) and E)
G) All of the above

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Find the integral. Find the integral.

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Find the integral using an appropriate trigonometric substitution.Select the correct Answer Find the integral using an appropriate trigonometric substitution.Select the correct Answer   A)    B)    C)    D)


A) Find the integral using an appropriate trigonometric substitution.Select the correct Answer   A)    B)    C)    D)
B) Find the integral using an appropriate trigonometric substitution.Select the correct Answer   A)    B)    C)    D)
C) Find the integral using an appropriate trigonometric substitution.Select the correct Answer   A)    B)    C)    D)
D) Find the integral using an appropriate trigonometric substitution.Select the correct Answer   A)    B)    C)    D)

E) A) and C)
F) C) and D)

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B

Find the integral using the indicated substitution. Find the integral using the indicated substitution.

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11ebbd2f_ce8d_e45d_8a0a_dda1f983e9f8_TB8680_11

Evaluate the integral. Evaluate the integral.

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Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)   (the shaded region in the figure) is given by the integral Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)   Find the area.. Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)


A) Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)
B) Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)
C) Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)
D) Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)
E) Select the correct Answer: for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure)  is given by the integral   Find the area..   A)    B)    C)    D)    E)

F) B) and C)
G) A) and E)

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If If   is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years   and  is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years If   is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years   and  and If   is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years   and

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By reading values from the given graph of By reading values from the given graph of   use five rectangles to find a lower estimate, to the nearest whole number, for the area from 0 to 10 under the given graph of    use five rectangles to find a lower estimate, to the nearest whole number, for the area from 0 to 10 under the given graph of By reading values from the given graph of   use five rectangles to find a lower estimate, to the nearest whole number, for the area from 0 to 10 under the given graph of    By reading values from the given graph of   use five rectangles to find a lower estimate, to the nearest whole number, for the area from 0 to 10 under the given graph of

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Select the correct Answer for each question. -Use the following property of the definite integral to estimate the definite integral Select the correct Answer for each question. -Use the following property of the definite integral to estimate the definite integral     A)    B)    C)    D)   Select the correct Answer for each question. -Use the following property of the definite integral to estimate the definite integral     A)    B)    C)    D)


A) Select the correct Answer for each question. -Use the following property of the definite integral to estimate the definite integral     A)    B)    C)    D)
B) Select the correct Answer for each question. -Use the following property of the definite integral to estimate the definite integral     A)    B)    C)    D)
C) Select the correct Answer for each question. -Use the following property of the definite integral to estimate the definite integral     A)    B)    C)    D)
D) Select the correct Answer for each question. -Use the following property of the definite integral to estimate the definite integral     A)    B)    C)    D)

E) B) and C)
F) A) and B)

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Evaluate the indefinite integral. Evaluate the indefinite integral.

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If If   where  where If   where

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