Resuelve la integral

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✎ Solución paso a paso

1. 1
   $$u=e^x\Rightarrow dx=\frac{du}{u},e^{2x}=u^2$$
2. 2
   $$=\int \frac{u^2}{u+3}\cdot \frac{du}{u}=\int \frac{u}{u+3}du$$
3. 3
   $$=\int (1-\frac{3}{u+3})du=u-3\ln |u+3|$$

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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