Evaluate: intx\ sqrt(1+x-x^2)\ dx...

Evaluate: `intx\ sqrt(1+x-x^2)\ dx`

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The correct Answer is:

`-(1)/(3)(1+x-x^(2))^(3//2)+1/2 [ ((x-1//2))/(2)sqrt(1+x-x^(2))+5/8 sin^(-1)((2x-1)/(sqrt(5)))]+C`

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