∫mxm+2n−1−nxn−1x2m+2n+2xm+n+1dx is equal to

Let I=∫mxm+2n−1−nxn−1x2m+2n+2xm+n+1dx=∫mxm+2n−1−nxn−11+xm+n2dx∴I=∫mxm−1−nxn+1xm+1xn2dxLet  xm+1xn=t⇒mxm−1−nxn+1dx=dt∴I=∫1t2dt=−1t+C=−1xm+1xn+C=−xnxm+n+1+C