009B Sample Midterm 2, Problem 2

This problem has three parts:

a) State the fundamental theorem of calculus.

b) Compute ${\frac {d}{dx}}\int _{0}^{\cos(x)}\sin(t)dt$

c) Evaluate $\int _{0}^{\frac {\pi }{4}}\sec ^{2}xdx$

Foundations:
1)
2)
Answers:
1)
2)

Solution:

Step 1:

Step 2:

Final Answer:

Return to Sample Exam