Homework Help: Integral task. How integrate?

1. Jan 1, 2012

Tasy

$\int \frac{x-3}{x^2+2x-5}dx$

How integrate this task?

$x^2+2x-5=0$

$D=24$, so I can't get real root.

2. Jan 1, 2012

Curious3141

OK, that line with the discriminant made no sense. The discriminant is greater than zero, so clearly the quadratic does have real, distinct roots.

Hint: start off with completing the square on the denominator. In other words, express the denominator in the form $(x+a)^2 + c$ and go from there.

Last edited: Jan 1, 2012
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