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how would you integrate 5/3 t^(3/2)?
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Using the power rule.
As nowhereman has said,\[\int\limits_{}{}\frac{5}{3}t^{\frac{3}{2}}dt=\frac{5}{3}\frac{t^{\frac{3}{2}+1}}{\frac{3}{2}+1}+ c=\frac{5}{3}\frac{t^{5/2}}{\frac{5}{2}}+c=\frac{5}{3}.\frac{2}{5}t^{5/2}+c\]\[=\frac{2}{3}t^{5/2}+c\]
Oh, thanks! I see this now! (just had to enlarge the screen!
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