Integral Problem

$\underset{}{\overset{}{<span\; style="font-size:\; large;">Integral\; Equation</span>}}$

$\underset{}{\overset{}{<br>}}$

$\underset{}{\overset{}{<br>}}$

$\underset{}{\overset{}{Calculte\; of \; \int }}\frac{x}{x+1}dx$

$\mathrm{<br>}$

We can separate this equation become

$\underset{}{\overset{}{\int }}\left(1-\frac{1}{x+1}\right)dx$

$\mathrm{<br>}$

$\underset{}{\overset{}{\int }}1dx-\underset{}{\overset{}{\int }}\frac{1}{x+1}dx$
$\mathrm{=\; x}+\ln \left(x+1\right)+C$