Does anybody know how to do complex integral substitution?

Question

anonymous · Answer

i do not know

anonymous · Answer

Some of the guys here are pretty good. Post question.

anonymous · Answer

Okay, thanks

anonymous · Answer

You welcome

anonymous · Answer

i give everyone medals

anonymous · Answer

$$\int\limits_{}^{}x ^{2}(x ^{3}+5)^{9} dx$$

anonymous · Answer

let u = x^3+5, so du = 3x^2dx the integral becomes$$(1/3)\int\limits_{}^{}u^9du$$ then you integrate, so the final answer then is (1/30)(x^3+5)^10 + C

anonymous · Answer

Mika, this is a straight forward u-sub, the way you complex integral, I thought it was out of my league and didn't even attempt it.

anonymous · Answer

how could it possibly be out of your league Chagauna? I'm glad you agree on the answer though. I might be all bugged out telling him to let u be something like that. I'll bet Mika's dealling with integrals like that and those kinds of methods as we speak. I might as well just let him get the answer though, so he feels like he can take it all from there. I bet he does great. Thanks for the reinforcement.

anonymous · Answer

OK, I won't get intimidated next time someone say I have a 'complex' problem.

anonymous · Answer

But this is always a clue, Mika, the derivative of x^3+5 is 2x dx which is part of the question.