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(ii) \( \int \)\[\frac{5}{\sin ^{2} x \cos ^{2} x} d x\] |
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Answer» \(\int \frac{5}{\sin^2x\, \cos^2x}dx\) \(=\int \frac{20}{4\sin^2x\, \cos^2x}dx\) \(=\int \frac{20}{\sin^2 2x}dx\) (∵ 2 sin x cos x = sin 2x) \(= \int\) 20 cosec2 2x dx \(= \frac{-20\, \cot x}{2} + c\) = -10 cot x + c |
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