Show that the centre of a rod of mass M and length L lies Midway between it's end, assuming the rod is non uniform, such that it's mass per unit length varies linearly with x according to the expression lamda=alphaX where alpha is a constant,find the x-coordinate of the centre of mass as a function of L

Show that the centre of a rod of mass M and length L lies Midway between it's end, assuming the rod is non uniform, such that it's mass per unit length varies linearly with x according to the expression lamda=alphaX where alpha is a constant,find the x-coordinate of the centre of mass as a function of L