Resuelve la integral

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✎ Solución paso a paso

1. 1
   $$\times \frac{x^2}{x^2}:=\int \frac{x^2}{x^3(x^3+1)}dx$$
2. 2
   $$u=x^3\Rightarrow du=3x^{2}dx$$
3. 3
   $$=\frac{1}{3}\int \frac{du}{u(u+1)}=\frac{1}{3}\ln \left|\frac{u}{u+1}\right|$$

Más de sustitución

$$\int \frac{x}{(x^2+3{)}^4}dx$$

$$\int \cos (x)e^{2\sin (x)}dx$$

$$\int \frac{\sqrt{\ln (x)}}{x}dx$$

$$\int \frac{x^2}{\sqrt{x^3+1}}dx$$

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