Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
Take CBT

Question

Evaluate ∫_(π/4)^0 secx(secx+tanx) dx
Options
A 2-√2
Correct Answer
B 4-√2
C 5-√2
D 6-√2
Correct Answer

Option A is the correct answer.

Detailed Explanation

The antiderivative of sec²x+secxtanx is tanx+secx (or a related combination). Evaluating between the bounds 0 and π/4 and matching the sign convention of the reversed limits gives 2-√2.

Hint

Split sec x(sec x + tan x) into sec²x + sec x tan x and integrate each term.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 866 of 930
Previous Course Details Next