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int e^(x).(x^(3) + x + 1)/((1 + x^(2))^(...

`int e^(x).(x^(3) + x + 1)/((1 + x^(2))^(3//2)) `dx =

A

`(e^(x))/(sqrt(1 + x^(2))) + c`

B

`(e^(x) sqrt(1 + x^(2)))/(x ) + c`

C

`e^(x).(x)/(sqrt(1 +x^(2))) + c`

D

`(e^(x).x)/((1 + x^(2))^(3//2)) +c`

Text Solution

Verified by Experts

The correct Answer is:
C
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