Primitive of Arctangent of x over a

Theorem

 * $\ds \int \arctan \frac x a \rd x = x \arctan \frac x a - \frac a 2 \ln \paren {x^2 + a^2} + C$

Also see

 * Primitive of $\arcsin \dfrac x a$


 * Primitive of $\arccos \dfrac x a$


 * Primitive of $\arccot \dfrac x a$


 * Primitive of $\arcsec \dfrac x a$


 * Primitive of $\arccsc \dfrac x a$