Resuelve la integral

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✎ Solución paso a paso

1. 1
   $$u=\sqrt{x-1}\Rightarrow x=u^2+1,dx=2udu$$
2. 2
   $$=\int \frac{u}{u^2+1}2udu=2\int \frac{u^2}{u^2+1}du$$
3. 3
   $$=2\int (1-\frac{1}{u^2+1})du$$
4. 4
   $$=2u-2\arctan u$$

Más de sustitución

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