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Integrate : int (e^(x)(x^(3)+x+1))/((1...

Integrate :
`int (e^(x)(x^(3)+x+1))/((1+x^(2))^((3)/(2)))dx`

Text Solution

Verified by Experts

The correct Answer is:
`=(xe^(x))/(sqrt(1+x^(2)))-int(e^(x))/((1+x^(2))^((3)/(2)))dx+int(exdx)/((1+x^(2))^((3)/(2)))+c=(xe^(x))/(sqrt(1+x^(2)))+c`
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