JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

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

is equal to

View answer and explanation

Correct option: D

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

Option D is correct because the integral simplifies to a standard form after using trigonometric identities and a suitable substitution.

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