JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{\mathrm{d} x}{2 \sin x-\cos x+5}=A \tan ^{-1} \frac{1}{\sqrt{5}} f(x)+C

, then

View answer and explanation

Correct option: A

A=1 / \sqrt{5}

Option A (

A=1 / \sqrt{5}

) is correct because after substitution and integration, the coefficient of the inverse tangent term is

1/\sqrt{5}

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