009B Sample Midterm 2, Problem 1

This problem has three parts:

(a) State the both parts of the fundamental theorem of calculus.

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

(c) Evaluate  $\int _{0}^{\pi /4}\sec ^{2}x~dx$.

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