Primitive of Reciprocal of p plus q by Tangent of a x

Theorem

 * $\displaystyle \int \frac {\d x} {p + q \tan a x} = \frac {p x} {p^2 + q^2} + \frac q {a \paren {p^2 + q^2} } \ln \size {q \sin a x + p \cos a x} + C$

Also see

 * Primitive of $\dfrac 1 {p + q \sin a x}$


 * Primitive of $\dfrac 1 {p + q \cos a x}$


 * Primitive of $\dfrac 1 {p + q \cot a x}$


 * Primitive of $\dfrac 1 {q + p \sec a x}$


 * Primitive of $\dfrac 1 {q + p \csc a x}$