my sheet says integrate by substitution then by parts. feeling a little stumped by the substitution guess i should have paid a little better attention in class.
intergal (x^3)(cos(x^2))dx
integral (x^3)cos(x^2)=(1/2)integral ucos(u)du
let u=cos(u) du=-usin(u)
dv=u v=1/2 u^2
=(1/2)((1/2 u^2)cos(u)-integral (((1/2)u^2)(-usin(u))du)
=(1/2)((1/2 u^2)cos(u)+(1/2)integral((u^2)(usin(u))du)
=(1/2)((1/2)(((u^2)cos(u)+integral((u^3)sin(u)du)
than what comes after that? or am i missing something here?
also how do i make the integral sign and put things to a power?