Question

integral de x^3 raiz x^4 +2 dx ?

Answer 1

$\int\limits{x^3\cdot \sqrt{x^4+2}} \, dx \\ \\ u = x^4+2 \\ du = 4x^3dx \ \ \Rightarrow \ \ \frac{1}{4}du=x^3dx \\ \\ \frac{1}{4}\int\limits{\sqrt{u}} \, du = \frac{1}{4}\cdot \frac{2u^{\frac{3}{2}}}{3}=\frac{(x^4+2)^{\frac{3}{2}}}{6}+c$