If `u=inte^(ax)sin " bx dx" and v=inte^(ax)cos " bx dx then "(u^(2)+v^(2))(a^(2)+b^(2))=`

Method of integration by parts : If u=inte^(ax)cos bx dx and v= int e^(ax) sin bx dx then (a^(2)+b^(2))(u^(2)+v^(2))=....

If u=inte^(ax)sin " bx dx" and v=int(e^(ax))cos " bx dx" ,then tan^(-1)((u)/(v))+tan^(-1)((b)/(a)) equals

If u=inte^(ax)sin " bx dx" and v=int^(e^(ax))cos " bx dx" ,then tan^(-1)((u)/(v))+tan^(-1)((b)/(a)) equals

inte^(ax)sin(bx+c)dx

If u=inte^(ax)cos bx dx and v=int e^(ax)sinbx dx , show that, (a^(2)+b^(2))(u^(2)+v^(2))=e^(2ax)

int e^(ax)cos(bx+c)dx

If u=e^(ax)sin bx and v=e^(ax)cos bx, then what is

int (e ^ (ax) + sin bx) dx

int (ax^(2) + bx + c) dx