Evaluating an Indefinite Integral of cos^4(x)sin(x)dx

[sapiental]

evaluate the indefinite integral cos^4(x)sin(x)dx

I tried using the half angle formula but this gives me a much more difficult integral, so i resorted to just regular substitution but am not sure if I can do this.

u = cos(x)
du = -sin(x)dx

indefinite integral -u^4du

then -1/5(u)^5 + C or -1/5(cos^5) + C

thanks!

 

[neutrino]

That's correct.