# Calculus Problems

## 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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