JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{\cos \theta}{5+7 \sin \theta-2 \cos ^2 \theta} d \theta=A \log _e|B(\theta)|+C

, where

C

is a constant of integration, then

\frac{B(\theta)}{A}

can be :

View answer and explanation

Correct option: D

\frac{5(2 \sin \theta+1)}{\sin \theta+3}

Option D (

\frac{{5(2 \sin \theta + 1)}}{{(\sin \theta + 3)}}

) is correct because it matches the simplified form of the integral after substitution and partial fraction decomposition.

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