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 Q20   Find the following integrals   \int \frac{2- 3 \sin x }{\cos ^ 2 x } dx

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Given integral \int \frac{2- 3 \sin x }{\cos ^ 2 x } dx;

\int \left ( \frac{2}{\cos^2x}-\frac{3\sin x }{\cos^2 x} \right )\ dx

= 2\int \sec^2 x \dx - 3\int \tan x \sec x \ dx

Using antiderivative of trigonometric functions

= 2\tan x -3\sec x +C, where C is any constant value.

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Divya Prakash Singh

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