∫(x²+1)eˣ/(x+1)²... | JEE Main 2022 | Indefinite Integration

JEE MAIN 2022

27-06-2022 S1

Question

$\int \frac{\left(x^2+1\right) e^x}{(x+1)^2} d x=f(x) e^x+C$, Where $C$ is a constant, then $\frac{d^3 f}{d x^3}$ at $x=1$ is equal to :

Select the correct option:

A

$-\frac{3}{4}$

B

$\frac{3}{4}$

C

$-\frac{3}{2}$

D

$\frac{3}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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