Question

\[ \int \frac{dx}{\sin^2x\cos^2x}= \]

• A. \(\tan x+\cot x+c\)
• B. \(\tan x-\cot x+c\)
• C. \(\tan x\cot x+c\)
• D. \(\tan x+\sec x+c\)

Hint:

When denominator contains \(\sin^2x\cos^2x\), use \(1=\sin^2x+\cos^2x\) to split the expression.

Answer 1

The Correct Option is B