## anonymous 3 years ago What is the antiderivative of 2t^2*sqrt t+1/(t*sqrt t)

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1. anonymous

Do you mean the antiderivative of the following?$2t ^{2}\sqrt{t}+\frac{ 1 }{ t \sqrt{t} }$What difficulty are you having? How far have you got with it? Remember the following:-$\sqrt{x}=x ^{\frac{ 1 }{ 2 }} \text{(Nonnegative values only.)}$$x^{a} x^{b}=x^{a+b}$$d(u+v)=du+dv$

2. anonymous

I suggest you to use sqrt(2) instead of sqrt 2 for us to better understand your formulae. Could you restate your question using that notation? Cheers!

3. anonymous

IT WOULD BE-(4(T^3.5)/7 )-2T^(-0.5) +C

4. anonymous

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5. anonymous