AngouriMath
IntegrateSineCosinePowers(AngouriMath.Entity,System.Int32,System.Int32,AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
The antiderivative of sin(u)^n * cos(u)^m where u is linear in x
with sloperate .
with slope
Remarks
With an odd power there is a substitution: peel one factor off to be the
differential and write what is left in the other function, which turns the
integral into a polynomial. With both powers even there is no such factor to
peel, so the halved-angle identities go in instead and the result is integrated
again -- the total power halves each time, so this ends.
differential and write what is left in the other function, which turns the
integral into a polynomial. With both powers even there is no such factor to
peel, so the halved-angle identities go in instead and the result is integrated
again -- the total power halves each time, so this ends.
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