0606 P13 - Jun 2017 - Q9 - 8 marks
8577
It is given that
\(\int_{-k}^{k}\left(15e^{5x}-5e^{-5x}\right)\,dx=6.\)
(i) Show that
\(e^{5k}-e^{-5k}=3.\)
(ii) Hence, using the substitution \(y=e^{5k}\), or otherwise, find the value of \(k\).
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