0606 P22 - Nov 2017 - Q9 - 8 marks
8669
(i) Find \(\dfrac{d}{dx}(x\ln x)\).
(ii) Hence find \(\displaystyle\int\ln x\,dx\).
(iii) Hence, given that \(k\gt 0\), show that \(\displaystyle\int_k^{2k}\ln x\,dx=k(\ln4k-1)\).
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