JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int\{\sqrt{\tan x}+\sqrt{\cot x}\} d x

is equal to

View answer and explanation

Correct option: B

\sqrt{2} \sin ^{-1}(\sin x-\cos x)+C

Option B,

\sqrt{2} \sin ^{-1}(\sin x-\cos x)+C

, is correct because manipulating the integrand and using a trigonometric identity leads to this result.

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