0606 P21 - Jun 2023 - Q7 - 10 marks
7689
(a) The diagram shows the curve \(y=6x-x^2\), for \(0\leq x\leq5\), and the line \(y=x\). Find the area of the shaded region.
(b) Find:
(i)
\(\int\left(\frac{1}{(2x-6)^3}+\cos x\right)\,dx.\)
(ii)
\(\int\frac{(x^4+1)^2}{2x}\,dx.\)
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