Edexcel C4 - Help

Are there any special forms or integration tips that you can provide for C4?
Or any forms of fractions or something that I don't know

For example I got a question in the form a^x and I just didn't know what to do with it ....
Also stuff like sin^3x and things like that how will I be able to spot/make it easier in a form which I can integrate?

Thanks - any help/tips would be useful!

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