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APowerBesideATrigonometricFunction​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

 Method (no overloads)

Summary

int P sin(u)^k cos(u)^j dx for a power P of x, or of a linear, which is not a polynomial -- or
none, beside a function of a power of x, sin(a + b x^3): by
Euler's formula sin(u)^k cos(u)^j is a sum of e^(i q u), each beside P a gamma function of
APowerBesideAnExponentialOfAPower(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean), and the term with q = 0 is P's own integral. Where any
term is declined -- a whole power of x, whose integral is elementary and answered by parts -- so is the
integrand. The gamma functions' arguments are imaginary on the real line, off the cut. Rubi's 4.1.10 and 4.1.12.
https://github.com/asc-community/AngouriMath/issues/2075

























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