0606 P21 - Nov 2021 - Q10 - 9 marks
8051
The diagram shows part of the curve
\(y=\frac5x+x^2-x.\)
(a) Find, in the form \(y=mx+c\), the equation of the tangent to the curve at the point where \(x=1\).
(b) Find the exact area enclosed by the curve, the \(x\)-axis, and the lines \(x=1\) and \(x=3\).
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