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Definite Integration question

2022 · 25 Jul · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 25 Jul · Shift 2 · Q29

Definite Integration question

2022 · 25 Jul · Shift 2 · Q29

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

[t]

denote the greatest integer less than or equal to

t

. Then the value of the integral

\int_{-3}^{101}\left([\sin (\pi x)]+e^{[\cos (2 \pi x)]}\right) d x

is equal to

A
$\frac{52(1-e)}{e}$
B
$\frac{52}{e}$
C
$\frac{52(2+e)}{e}$
D
$\frac{104}{e}$

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