JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{\sec x}{\sqrt{\sin (2 x+\alpha)+\sin \alpha}} d x

is equal to

View answer and explanation

Correct option: A

\sqrt{2 \sec \alpha(\tan x+\tan \alpha)}+C

Option A is correct because after applying trigonometric identities and simplifying, the integral evaluates to the given expression involving

\tan x

and

\tan \alpha

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