Resuelve la integral

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✎ Solución paso a paso

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

Más de sustitución

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

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

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

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