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  4. The value of the integral ∫ ( sec x/ sin x+ cos x) d x is

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Q. The value of the integral $\int \frac{\sec x}{\sin x+\cos x} d x$ is

Integrals

Solution:

$\int \frac{d x}{\cos ^2 x(1+\tan x)}=\int \frac{\sec ^2 x}{1+\tan x} d x=\ln |1+\tan x|+C$