evaluate-the-integral-int-fracxx2-1-dx-by-choosing-an-appropriate-substitution

Question

Evaluate the integral $$ \int \frac{x}{x^2 + 1} \, dx  by $$choosing an appropriate substitution.

Accepted Answer

$$ \frac{1}{2} \ln |x^2 + 1| + C $$

Answer

$$ \frac{x^2}{2} + C $$

Answer

$$ \ln |x| + C $$

Answer

$$ \arctan(x) + C $$

Evaluate the integral \( \int \frac{x}{x^2 + 1} \, dx \) by choosing an appropriate substitution.