Tangent-Secant Integral for Odd Secant Power

Rarely Tested

Tangent-Secant Integral for Odd Secant Power

For:

$$\int\tan^m x\sec^n x\,dx$$

if $$m$$ is odd, separate a factor of $$\sec x\tan x$$ and use:

$$\sec^2x=1+\tan^2x$$

Usage

- Used to reduce tangent-secant integrals when an odd power of tangent is available.

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