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Both particles are used to signify the past tense of a verb, but they signify different types of past tense (which we don't really have in English). 过 is used when to convey the action has been experience...
The general method is: 1)write down what needs to be shown (the claim) 2)check it holds for the lowest value of n required (normally n=1 but check question) 3)write down sentence: 'Suppose when n=m the cl...
We integrate by parts: u=x u'=1; v'=sin(x) v=-cos(x) integral(xsin(x)dx) = -xcos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.
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