Question

Calcular integral de f(x) =(x^2).senx.dx

Answer 1

/=integral
u=x^2
dv=senx.dx
du/dx=2x
du=2xdx
/dv=/senx.dx
v=-cosx
agora podemos jogar na fórmula
/(x^2.senx.dx)=x^2.cosx+/(cosx.2xdx)
analisando separadamente
/(2x.cosxdx)
2x=u
du/dx=2
du=2.dx
/dv=/cosx.dx
v=senx
/cosx.2xdx=senx.2x-/2senxdx
/cosx.2x.dx=senx.2x-2.cosx
/x^2.senxdx=x^2.cosx+2senx.x -2cosx