calculate-2x-1-x-2-x-1-3-dx-

Question Number 129867 by Bird last updated on 20/Jan/21

c a l c u l a t e \int \frac{2 x - 1}{{(x^{2} - x + 1)}^{3}} d x

Answered by Olaf last updated on 20/Jan/21

Ω = \int \frac{2 x - 1}{{(x^{2} - x + 1)}^{3}} d x = \int \frac{d u}{u^{3}}

(u = x^{2} - x + 1)

Ω = - \frac{1}{2 u^{2}} + C = - \frac{1}{2 {(x^{2} - x + 1)}^{2}} + C

Facebook Tweet Pin