Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

∫tan²x dx
Options
A sec²x
B tanx-x
Correct Answer
C 2tanx sec²x
D cot²x
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using tan²x=sec²x-1: ∫(sec²x-1)dx = tanx-x+C.

Hint

Rewrite tan²x using the identity tan²x=sec²x-1 before integrating.

Question Info