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

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

A

`sqrt(1+x^(2))-(2)/(3)(1+x^(2))^(3//2)+c`

B

`xsqrt(1+x^(2))+(2)/(3)(1+x^(2))^(3//2)+c`

C

`(x^(2))/(3)sqrt(1+x^(2))-(2)/(3)(1+x^(2))^(3//2)+c`

D

`x^(2)(1+x^(2))-(1)/(3)(1+x^(2))^(1//2)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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