Tangent-Secant Power Integral

Rarely Tested

Tangent-Secant Power Integral

For:

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

if $$n$$ is even, separate a factor of $$\sec^2x$$ and use:

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

Usage

- Used to convert the integral into a polynomial-type integral in $$\tan x$$.

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