JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The value of

\int\limits_{\frac{\pi}{3}}^{\frac{\pi}{2}} \frac{(2+3 \sin x)}{\sin x(1+\cos x)} d x

is equal to

View answer and explanation

Correct option: D

\frac{10}{3}-\sqrt{3}+\log _{e} \sqrt{3}

Option D (

\frac{10}{3}-\sqrt{3}+\log _{e} \sqrt{3}

) is correct because the integral is solved by partial fraction decomposition and trigonometric substitution.

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