Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

$\int \frac{\sec x ~cosec ~x}{\log \tan x} d x$

Options:

log (tan x)

cot (log x)

log log (tan x)

tan (log x)

Correct Answer:

log log (tan x)

Explanation:

put log tan x = t

$\frac{1}{\tan x} \sec ^2 x d x=d t$

sec x cosec x dx = dt

$\int \frac{dt}{t}$ = log t + c = log (log tan x)

Hence (3) is the correct answer.