Start learning →

Let I be the integral of log(tan x) on [0, pi/2]. Using the mirrored integrand log(cot x), I equals

Alog 2
B-pi/2
C0
Dpi/2
Answer & Solution
Correct answer: C. 0
Replacing x by pi/2 - x turns log tan x into log cot x = -log tan x, so I = -I and I = 0.
Practise this question with Quill — MHT-CET →

Keep practising Definite Integration

Browse all Definite Integration questions for MHT-CET, or explore more Mathematics topics.

Start a Definite Integration lesson →
Related questions