Practicing Success
Practicing Success
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| The value of \(\int \frac{dx}{\sin^{2} x\cos^{2} x}\) is equal to |
\(\tan x+\cot x+c\) \((\tan x+\cot x)^{2}+c\) \((\tan x-\cot x)^{2}+c\) \((\tan x-\cot x)+c\) |
| \((\tan x-\cot x)+c\) |
| \(\begin{aligned}\int \frac{dx}{sin^2 x \cos^{2} x}&=\int \frac{\sin ^{2} x+\cos^{2} x}{\sin^{2} x\cos^{2} x}dx\\ &=\int (\sec^{2} x+\csc^{2}x)dx \\ &=(\tan x-\cot x)+c\end{aligned}\) |
