Mathematics

$$\int {\ell n\left( {{x^2} + 1} \right)dx} $$


SOLUTION
$$\int ln(x^{2}+1)dx= xln(x^{2}+1)-\int\frac{x}{x^{2}+1}2xdx$$
                            $$=xln(x^{2}+1)-2\int (1-\frac{1}{x^{2}+1})dx$$
                             $$=xln(x^{2}+1)-2x+2tan^{-1}x+ C$$
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Subjective Medium Published on 17th 09, 2020
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