Chapter 9 Practice Test Flashcards Preview

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Flashcards in Chapter 9 Practice Test Deck (20)
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1
Q

Evaluate the indefinite integral ∫√u(u^3−1)du.

A

2/9u^9/2−2/3u^3/2+C

2
Q

Evaluate the indefinite integral∫x^5+2x^2−e^2/x dx.

A

x^5/5+x^2−e^2lnx+C

3
Q

Evaluate the indefinite integral∫5e^xdx.

A

5e ^x + C

4
Q

Evaluate the indefinite integral∫e^x+e^−x/2dx.

A

1/2(e^x−e^−x)+C

5
Q

Evaluate the indefinite integral ∫(2x−1)^100dx

A

(2x−1)^101/202+C

6
Q

Evaluate the indefinite integral ∫x−1/(x^2−2x+5)^3dx

A

None of the above

7
Q

Evaluate the indefinite integral ∫dx/√x+1

A

2√x+1+C

8
Q

Which of the following expression is correct substitution to use for u when evaluating the integral ∫(4x^3+6x)cos(x^4+3x^2+5)dx ?

A

x^ 4 + 3x^ 2 + 5

9
Q

Which of the following values of u is the correct substitution to use when evaluating the integral ∫sec^2(7x+9)dx ?

A

(7x + 9)

10
Q

Use the substitution u=(2x^4−2) to evaluate the ∫x^3^e(2x^4−2)dx.

A

1/8e^(2x^4−2)+C

11
Q

Which of the following values of u is the correct substitution to use when evaluating the integral ∫e^x/6+e^x dx ?

A

6+e^x

12
Q

Evaluate the integral ∫4x^3+6x+5/√x^4+3x^2+5x−4 dx .

A

2√x^4+3x^2+5x−4+C

13
Q

What is the area between the curve y = cos x + 3 and the x-axis from x = 0 to x = 2π?

A

14
Q

What is the area between the curve g (x) = 3x^ 2 + 2 and the x-axis from x = −2 to x = 0?

A

12

15
Q

What is the area bound by the curve y=x^4−2/x^2 and the x-axis from x=4 to x=6?

A

50.5

16
Q

What is the area beneath the curve y = −x^ 2 − 6x − 5 and above the x-axis?

A

32/3

17
Q

Evaluate ∫13 7 2 1/x^2√x^2−9 dx

A

4/819*√10

18
Q

Evaluate ∫ 2 −2 6 1(/16−x^2)^3/2dx.

A

1/4*√3

19
Q

Approximate the integral ∫ 4 1 3/x dx using the trapezoidal rule with N=4.

A

4.284

20
Q

Approximate the integral ∫ 7 1 1/5x dx using the trapezoidal rule with N=3.

A

0.442

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