4.05: Area between a curve and a line

0606/12/M/J/26 — Question 12 · 11 marks

The curve is \(y=\dfrac{10}{4x+1}\). The line \(L\) passes through \((0,6)\) and \((1.5,0)\) and intersects the curve at \(P\) and \(Q\).
Find the exact area of the shaded region enclosed by the curve and \(L\).
[11]
Official diagram for Question 12