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04-03-2018
Mathematics

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I’m not sure how to use integration to solve this question (4)

Im not sure how to use integration to solve this question 4 class=

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04-03-2018

Hello,
[tex]Area= \frac{16}{3}=2*( k*\sqrt{k}- \int\limits^{\sqrt{k}}_{0} {x^2} \, dx )\\\\ \dfrac{8}{3}=k ^\frac{3}{2}- \frac{1}{3}* [x^3]^{\sqrt{^k}}_0\\\\ 2* k ^\frac{3}{2}=8\\\\ k = \sqrt[3]{16}\\ [/tex]

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