Was ist das Integral von xcos (x) ?
Sie verwenden die Idee der Teilintegration:
int uv'dx = uv - intu'vdx
intx cosxdx =
Lassen:
u = x
u' = 1
v' = cosx
v = sinx
Dann:
intx cosxdx = xsinx - int 1*sinxdx = xsinx - (-cosx) = xsinx+cosx
Sie verwenden die Idee der Teilintegration:
int uv'dx = uv - intu'vdx
intx cosxdx =
Lassen:
u = x
u' = 1
v' = cosx
v = sinx
Dann:
intx cosxdx = xsinx - int 1*sinxdx = xsinx - (-cosx) = xsinx+cosx