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

`int(x^(3))/(sqrt(1+x^(2)))dx=a(1+x^(2))^((3)/(2))+b* sqrt(1+x^(2))+C`

A

`a=(1)/(3) and b=1`

B

`a=-(1)/(3) and b=1`

C

`a=-(1)/(3) and b=-1`

D

`a=(1)/(3) and b=-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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