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Indefinite Integrals question

2022 · 27 Jun · Shift 1 · Q26

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JEE Main
Mathematics
Indefinite Integrals
2022 · 27 Jun · Shift 1 · Q26

Indefinite Integrals question

2022 · 27 Jun · Shift 1 · Q26

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

\int {{{({x^2} + 1){e^x}} \over {{{(x + 1)}^2}}}dx = f(x){e^x} + C}

, where C is a constant, then

{{{d^3}f} \over {d{x^3}}}

at x = 1 is equal to :

A
$- {3 \over 4}$
B
${3 \over 4}$
C
$- {3 \over 2}$
D
${3 \over 2}$

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