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Definite Integration question

2006 · Shift 0 · Q62

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PYQ Library
JEE Main
Mathematics
Definite Integration
2006 · Shift 0 · Q62

Definite Integration question

2006 · Shift 0 · Q62

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\int\limits_{ - {{3\pi } \over 2}}^{ - {\pi \over 2}} {\left[ {{{\left( {x + \pi } \right)}^3} + {{\cos }^2}\left( {x + 3\pi } \right)} \right]} dx

is equal to

A
${{{\pi ^4}} \over {32}}$
B
${{{\pi ^4}} \over {32}} + {\pi \over 2}$
C
${\pi \over 2}$
D
${\pi \over 4} - 1$

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