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I am trying to find the antiderivative of $8t^{-{1/2}}$ but im just not understanding how to do this.

I saw someone get out of $t^{1/2}$ the answer $2t^{1/2}$ Can someone help me out?

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    Informal: Let's try $x^{1/2}$. Check by differentiating. Too bad, derivative is $(1/2)x^{-1/2}$, and we want $8x^{-1/2}$. Easy fix: Multiply by $16$.2012-12-13
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    @AndréNicolas What's informal about that?2012-12-13
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    @DavidMitra: he's not wearing a tux.2012-12-13
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    Well, it is formally correct. And it is a useful strategy, I like to throw away constants and recover them at the end. It is also a useful approach to $xe^x$ say. Guess antiderivative is $xe^x$, check by differentiation, oops, but easy fix.2012-12-13

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