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Definite Integration question

2023 · 25 Jan · Shift 2 · Q32

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JEE Main
Mathematics
Definite Integration
2023 · 25 Jan · Shift 2 · Q32

Definite Integration question

2023 · 25 Jan · Shift 2 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

16\int\limits_1^2 {{{dx} \over {{x^3}{{\left( {{x^2} + 2} \right)}^2}}}}

is equal to

A
${{11} \over {12}} + {\log _e}4$
B
${{11} \over 6} + {\log _e}4$
C
${{11} \over {12}} - {\log _e}4$
D
${{11} \over 6} - {\log _e}4$

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