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The value of inte^x((x^3+x+1))/(1+x^2)^(...

The value of `inte^x((x^3+x+1))/(1+x^2)^(3/2)dx` is equal to (A) `xe^x(1+x^2)^(5/2)+c` (B) `xe^x(1+x^2)^(3/2)+c` (C) `xe^x(1+x^2)^-(1/2)+c` (D) none of these

A

`(x^(2)e^(x))/((1+x^2)^(1//2))+C`

B

`(e^(x))/(x(1+x^2)^(1//2))+C`

C

`(e^x)/((1+x^2)^(1//2))+C`

D

`(xe^x)/((1+x^2)^(1//2)+C`

Text Solution

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The correct Answer is:
D
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