if I evaluate I get e^6 - e^2 but the answer should be (1/2)(e^6 - e^2), where does the (1/2) come from?
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Hey kingsolomonsgrave. Try doing a transformation u = 2x where du/dx = 2 which means you have to multiply by a 1/2 and the limits go from [1,3] to [2,6]
The reason your answer is wrong is because: $\displaystyle \frac{d}{dx}\left(e^{2x} \right)\ne e^{2x}$ but: $\displaystyle \frac{d}{dx}\left(\frac{1}{2}e^{2x} \right)=e^{2x}$ Using the substitution suggested by chiro is the best way to go, IMHO.
thanks!
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