0606 P23 - Jun 2023 - Q9 - 11 marks
7712
(a) Show that
\(\int_1^8\frac{x+4}{\sqrt x}\,dx=36.6.\)
(b) The diagram shows the line
\(10y=7-3x\)
and the curve
\(y=\frac{1}{3x+4}.\)
The line and curve intersect at the point \(A\).
Verify that the \(y\)-coordinate of \(A\) is \(0.1\), and calculate the shaded area.
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