# Integrate x root 1+ x - x^2 ?

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Find the integral : #intxsqrt(1+x-x^2)dx# .

Find the integral :

Prerequisites :

Assuming that the Problem is to find the integral :

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To integrate ( x\sqrt{1 + x - x^2} ), you can use the method of substitution. Let ( u = 1 + x - x^2 ). Then, ( du/dx = 1 - 2x ), and solving for ( dx ) gives ( dx = du / (1 - 2x) ). After substitution, integrate with respect to ( u ).

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