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**How to differentiare/integrate e^t and the like.....**

I'm taking linear algebra this semester and completely have forgotten how to integrate and differentiate e functions.

This is within the context of trying to learn how to integrate vector functions...

So how would you integrate t*e^t ? what do you do when there is a multiplicative factor?

How about if it were e^t2? or alternatively e^-2t??

Thanks for the help!