# calculus

Instruction:

1. Do it yourself. You should not seek help from others, nor through internet. You cannot help others either.
2. It is an open book exam.
3. No need to copy the problems. Just write your name, number of problem, and the answer of the problem in an answer sheet.
4. Show your work. Most of the problems are not trivial. Wrong answers without detail will have 0 points.
5. Exam time is 2 hours. The answer sheet should be sent back by the due time. Pass due exam will be graded 0. No exception.
6. You may scan or just use a cell phone to take picture of the answer sheet, send it as an attachment in email to hlai@schoolcraft.edu. File format should be jpg, jpeg, adobe or docx. HEIC file is not accepted. Do not create a web site that requires login to find your answer sheet.

Math 150 Exam 5

1 – 2. Find the derivative of the function.

u

1. 1. h(u) = ∫ _√(t)_ dt

0      t + 1

x4

1. 2. y = ∫ cos 2 θ dθ

0

Evaluate the integral.

2

1. 3. ∫ (1 – 8v3 + 16v6) dv

–1

3

1. ∫ e dx

0

1. 5. ∫ [x2 + 1 + 1 / (x2 + 1)] dx

1. 6. ∫ sec t (sec t + tan t) dt

1. 7. ∫ sin 2x dx

sin x

1

1. ∫ t(1 – t2) dt

-1

1

1. 9. ∫ (5x + x5 ) dx

0

π/4

1. 10. ∫ sec θ tan θ dθ

0

1. 11. ∫ x √(x + 2) dx

1. 12. ∫ sin x sin(cos x) dx

1. 13. ∫ dx__      (a ≠ 0)

ax – b

1. 14. ∫ sec 2 x dx

tan 2 x

1. 15. ∫ ecos t sin t dt

1. sin x__ dx

1 + cos 2 x

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