Question

Cat face integrala din x^2 supra 1+x^6 dx?

Answer 1

Salut,

$\Big\int\dfrac{x^2dx}{1+x^6}=\dfrac{1}3\cdot\int\dfrac{3x^2dx}{1+(x^3)^2}=\dfrac{1}3\cdot\int\dfrac{(x^3)^{'}dx}{1+(x^3)^2}=\dfrac{arctgx^3}3+C$

Green eyes.