The value of \(\int \frac{dx}{\sin^{2} x\cos^{2} x}\) is equal to
Answer & explanation
Correct answer: option 4
\(\begin{aligned}\int \frac{dx}{sin^2 x \cos^{2} x}&=\int \frac{\sin ^{2} x+\cos^{2} x}{\sin^{2} x\cos^{2} x}dx\\ &=\int (\sec^{2} x+\csc^{2}x)dx \\ &=(\tan x-\cot x)+c\end{aligned}\)