Primitive of Reciprocal of q plus p by Hyperbolic Secant of a x

Theorem

 * $\displaystyle \int \frac {\mathrm d x} {q + p \operatorname{sech} a x} = \frac x q - \frac p q \int \frac {\mathrm d x} {p + q \cosh a x} + C$

Also see

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


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


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


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


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