Ok, i have decided not to post many integral question like i did before but my keen interest in calculus makes me approach these questions almost everyday and i happen to stumble upon hard questions(at least for me), but i must say this integral isnt at all "tedious", its rather interesting i think, so i would appreciate any hints, (not answers) would be great. Thank you

i do sense some sort of generalization(obviously) for any powers of "x". Can anyone help me out??