Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Evaluate ∫_(π/4)^(3π/4) cos(π-2x) dx
Options
A 1
Correct Answer
B 2
C 3
D 4
Correct Answer

Option A is the correct answer.

Detailed Explanation

Antiderivative of cos(π-2x) is -½sin(π-2x). Evaluating from π/4 to 3π/4 gives a net value of 1.

Hint

Integrate cos(π-2x) using the chain rule in reverse, then evaluate at both bounds.

Question Info