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If you aren't lucky enough to be told in the question, the first thing we have to do is know when we should you integration by parts.

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How do I integrate terms with sin^2(x) and cos^2(x) in them? For example integrate (1+sin(x))^2 with respect to x

How do I add two fractions? (plus example)

How do I expand (x+a)(x+b)? (plus example)