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SolveAProductOfPowersOfASineAndACosineByLinearising(AngouriMath.Entity,AngouriMath.Entity.Variable)

Method (no overloads)

Summary

A product of whole powers of a sine and a cosine of one linear times something else in x
that is no polynomial, sin(u)^3 cos(u)^6/(a + b u), linearised: the product is a sum
of cos(k u) and sin(k u) by the product-to-sum formulas, and each term beside
the rest its own question.

Remarks

sin(3 u)/(a + b u) is answered in sines and cosine integrals, and the product of
powers was not: Rubi's 5.1.4 x^3 (1 - c^2 x^2)^(5/2)/(a + b asin(c x)), which under
u = asin(c x) is that product, was declined. Last but one, so that everything
answering the product as written goes first.
https://github.com/asc-community/AngouriMath/issues/718

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AngouriMath

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

SolveAProductOfPowersOfASineAndACosineByLinearising(AngouriMath.Entity,AngouriMath.Entity.Variable)