Integral Calculus Question 428

Question: To evaluate $ \int_{{}}^{{}}{\frac{{{\sec }^{2}}x}{(1+\tan x)(2+\tan x)}\ dx} $ , the most suitable substitution is

Options:

A) $ 1+\tan x=t $

B) $ 2+\tan x=t $

C) $ \tan x=t $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

The most suitable substitution is $ \tan x=t. $