^4 x ^4 x d x= ^m x m + ^n x n +c (where c is constant of integration), then m + n =

Step-by-step solution

Let I= ^4 ^4 x d x Put x = t ^2 x d x = dt aligned & I = ^2 x ( ^2 x ) ( ^4 x ) dx & = (1+ t ^2 )( t )^4 dt = ( t ^4+ t ^6 ) dt = t ^5 5 + t ^7 7 + c = ^5 x 5 + ^7 x 7 + c aligned