int frac{1}{sin x cdot cos^2 x} , dx = | vedclass

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Question

(D) $I = \int \frac{1}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x + \cos^2 x}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x}{\sin

Vedclass · Accepted Answer

$\sec x + \log |\operatorname{cosec} x - \cot x| + c$

Vedclass · Answer

(D) $I = \int \frac{1}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x + \cos^2 x}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x}{\sin x \cdot \cos^2 x} \, dx + \int \frac{\cos^2 x}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin x}{\cos^2 x} \, dx + \int \frac{1}{\sin x} \, dx$ $I = \int 	an x \sec x \, dx + \int \operatorname{cosec} x \, dx$ $I = \sec x + \ln |\operatorname{cosec} x - \cot x| + c$

$\int \frac{1}{\sin x \cdot \cos^2 x} \, dx = $

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