Primitive of Arctangent of x over a

Theorem

 * $\displaystyle \int \arctan \frac x a \ \mathrm d x = x \arctan \frac x a - \frac a 2 \ln \left({x^2 + a^2}\right) + C$

Also see

 * Primitive of $\arcsin \dfrac x a$


 * Primitive of $\arccos \dfrac x a$


 * Primitive of $\operatorname{arccot} \dfrac x a$


 * Primitive of $\operatorname{arcsec} \dfrac x a$


 * Primitive of $\operatorname{arccsc} \dfrac x a$