JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{1}{\sin x-\cos x+\sqrt{2}} d x

equals

View answer and explanation

Correct option: D

-\frac{1}{\sqrt{2}} \cot \left(\frac{x}{2}+\frac{\pi}{8}\right)

Option D (

-\frac{1}{\sqrt{2}} \cot \left(\frac{x}{2}+\frac{\pi}{8}\right)

) is correct because it is the result of integrating the given expression after trigonometric simplification.

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