## Transcribed Text

1. Evaluate the integral
Z T
3
17
√
x
dx
2. Evaluate the integral
Z 6
3
x
2 + 19
x
2
dx
3. Evaluate the integral
Z T
2
19x + 29dx
4. Evaluate the integral
Z x
0
(t
3 + 2t
2 + 7x + 3)dx
5. Use the fundamental theorem of calculus to compute the derivative of F(x) if
F(x) = Z x
2
(t
4 + t
3 + t + 9)dt
6. Use the fundamental theorem of calculus to compute the derivative of g(x) if
g(x) = Z x
5
√
u
2 + u + 9du
7. Suppose
f(x) = Z x
1
√
t
2 − 6t + 9dt
For which positive value of x does f
0
(x) equal 0?
8. Find the value of x at which the function
F(x) = Z x
6
(t
8 + t
6 + t
4 + t
2 + 1)dt
takes its minimum on the interval [6, 100].
9. Find the value of x at which
G(x) = Z x
−4
(|t| + 220)dt
takes its maximum on the interval [-4, 40].
10. Evaluate the integral
Z 3
0
(t
2 + 1)dt
11. Evaluate the integral
Z −2
−7
1
x

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