i was asked to calculate the integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int\frac{dx}{x+\sqrt{x^2-x+1}}[/tex] by using euler substituition (i.e, finding a line which intersects sqrt(x^2-x+1) through one point and then the equation of the line will be y-y0=t(x-x0) where (x0,y0) is one point of intersection, and then substituing x for a rational function of t.

i did so in this particular example but i got stuck.

so i tried to recheck it through mathworld's integrator, but it states there isn't such formula for this integral, is this correct?

obviously if it's integrator, so it must be. (-:

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# Homework Help: Calculate an integral using euler substituition.

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