Evaluate: int((x-1)sqrt(x^4+2x^3-x^2+2x+...

Evaluate: `int((x-1)sqrt(x^4+2x^3-x^2+2x+1))/(x^2(x+1))dx`

Text Solution

Verified by Experts

The correct Answer is:

`I=sqrt(t^(2)+2t-3)-log(t+1+sqrt(t^(2)+2t-3))-sqrt(3)sin^(-1)((t+5)/(t+2))`
where , `t=x+1/x`

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ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise (Questions Asked In Previous 13 Years Exam)

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