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SolveACosineBesideAFunctionOfTheSineWithAnIrrationalPowerInIt​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​System.​Boolean)

 Method (no overloads)

Summary

A cosine of a linear u beside a function of its sine, with a power of the sine whose
exponent is not a rational number in it, integrated in s = sin(u); a sine beside a
function of the cosine the same in c = cos(u). Rubi's 4.7.7
cos(x)/(sin(x) + sin(x)^sqrt(2)) is 1/(s + s^sqrt(2)) in the sine, which is
answered, and as written it was declined.

Remarks

ds = cos(u) u' dx and the rest is a function of the sine as written, so the
integrand is exactly that function of s over u', with the principal powers
of the same values. Only past the rationals: a rational power of the sine is the
substitution search's, and answered there.
https://github.com/asc-community/AngouriMath/issues/233

























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