Find \(\displaystyle\int_2^4(5x-2)^{-\frac23}\,\mathrm{d}x\), giving your answer in exact form.[4]
Find \(\displaystyle\int_0^{\frac12}\left(\dfrac4{2x+1}+\dfrac8{(2x+1)^2}\right)\,\mathrm{d}x\), giving your answer in the form \(a+\ln b\), where \(a\) and \(b\) are integers.[5]
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