Question

The integral $\int \frac{1}{\cos^2 x (1 - \tan x)^2} \, dx =$

• A. $\frac{1}{1 - \tan x} + C$
• B. $-\frac{1}{1 - \tan x} + C$
• C. $\frac{1}{(1 - \tan x)^2} + C$
• D. $-\frac{1}{(1 - \tan x)^2} + C$

Hint:

Always look for the derivative of a term present in the numerator. Here, $\sec^2 x$ is the derivative of $\tan x$, signaling a direct $u$-substitution.

Answer 1

The Correct Option is A