Question

Salut va rog spuneti-mi si mie cat face Integrala din x supra x patrat +1

Answer 1

$\int\dfrac{x}{x^2+1}dx=\dfrac{1}2\cdot\int\dfrac{2x}{x^2+1}dx=\dfrac{1}2\cdot\int\dfrac{(x^2)'}{x^2+1}dx=\\\\=\dfrac{1}2\cdot ln|x^2+1|+C=\dfrac{1}2\cdot ln(x^2+1)+C.$

Green eyes.