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Definite Integration question

2024 · 5 Apr · Shift 1 · Q41

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 5 Apr · Shift 1 · Q41

Definite Integration question

2024 · 5 Apr · Shift 1 · Q41

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

\int\limits_0^{\pi / 4} \frac{136 \sin x}{3 \sin x+5 \cos x} \mathrm{~d} x

is equal to :

A
$3 \pi-50 \log _e 2+20 \log _e 5$
B
$3 \pi-25 \log _e 2+10 \log _e 5$
C
$3 \pi-10 \log _{\mathrm{e}}(2 \sqrt{2})+10 \log _{\mathrm{e}} 5$
D
$3 \pi-30 \log _e 2+20 \log _e 5$

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