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After finding the integral of some function, we wonder, what the right answer would be. So we goto http://integrals.wolfram.com to look up the answer. The answer the "Integral machine" gave is not always in the same form our answers are.

For example: ∫ Cos[x]^3 = u - u^3/3, where u = sin x.

The answer the integral machine outputs would be something more nastier...

Can someone explain, how do you generally determine whether an expression is identical to another expression(usually in a more complex form)?