*Instruction:*

*Do it yourself. You should not seek help from others, nor through internet. You cannot help others either.**It is an open book exam.**No need to copy the problems. Just write your name, number of problem, and the answer of the problem in an answer sheet.**Show your work. Most of the problems are not trivial. Wrong answers without detail will have 0 points.**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.**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*. h(u) = ∫ ___√(t)___dt

0 t + 1

x^{4}

*2*. y = ∫ cos^{2}θ dθ

0

Evaluate the integral.

2

*3*. ∫ (1 – 8v^{3}+ 16v^{6}) dv

–1

3

- ∫ e dx

0

*5*. ∫ [x^{2}+ 1 + 1 / (x^{2}+ 1)] dx

*6*. ∫ sec t (sec t + tan t) dt

*7*. ∫__sin 2x__dx

sin x

1

- ∫ t(1 – t
^{2}) dt

-1

1

*9*. ∫ (5x + x^{5}) dx

0

π/4

*10*. ∫ sec θ tan θ dθ

0

*11*. ∫ x √(x + 2) dx

*12*. ∫ sin x sin(cos x) dx

*13*. ∫__dx____(a ≠ 0)

ax – b

*14*. ∫__sec__dx^{2}x

tan ^{2} x

*15*. ∫ e^{cos t}sin t dt

- ∫
__sin x____dx

1 + cos ^{2} x