a very good Question.......(an iit problem of 2001(or02) i suppose)

the exp. can be written as (x^3m-1+x^2m-1+x^m-1)(2x^3m+3x^2m+6x^m)^1/m

                                                 U                             V

here if V is =t (say)

then Udx= 1/6mdt

thus integral= t ^(1+m)/m/6(1+m)......

this can be finalised by substuting for t......

rate me if you found my expln. satisfactory or do correct me if i were wrong.....................