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Definite Integration question

2023 · 31 Jan · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 31 Jan · Shift 1 · Q38

Definite Integration question

2023 · 31 Jan · Shift 1 · Q38

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

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

is equal to :

A
$\frac{10}{3}-\sqrt{3}+\log _{e} \sqrt{3}$
B
$\frac{7}{2}-\sqrt{3}-\log _{e} \sqrt{3}$
C
$\frac{10}{3}-\sqrt{3}-\log _{e} \sqrt{3}$
D
$-2+3\sqrt{3}+\log _{e} \sqrt{3}$

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