JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Hard

1 of 1

Analyzing +4 | -1

\int \frac{e^{\sec x} \sin [x+(\pi / 4)]}{\cos x(1-\sin x)} d x\left(0 < x < \frac{\pi}{4}\right)

is equal to

View answer and explanation

Correct option: B

\frac{1}{\sqrt{2}} e^{\sec x}(\sec x+\tan x)+c

Option B is correct because after simplification and integration, the integral evaluates to

\frac{1}{\sqrt{2}} e^{\sec x}(\sec x+\tan x)+c

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