I have a #math question.

[dnkboston@apobangpo.space]

I have a #math question. Everyone inclined to snicker, please look away.

I need to take the integral of (e^x)*(sin^2(x))*(cos(x)) (and variants thereof). I don't think I can simplify this anymore so I can get this into, basically, a function of two terms.

Does it make sense to find the integral of (sin^2(x))*(cos(x)) and then use that information to integrate the whole function by parts, with (e^x)dx being the other "part"? It's been days and I can't think of any other way to do this.

TIA!

[oblomov@sociale.network]

@dnkboston sounds like a feasible approach

[dnkboston@apobangpo.space]

@oblomov Someone suggested product to sums formulas, which have been less frustrating--so far!

[oblomov@sociale.network]

@dnkboston
oh because even though

g'(x) = sin2(x) cos(x) => g(x) = sin3(x)/3

is easy, then you'd have to integrate exp(x) sin3(x)/3 which would be … less easy 8-D