2026 IGCSE Additional Mathematics May/June 0606/21 Q10

A curve has equation \(y=x^2\ln(3x^2+5)\).

The normal to the curve at the point where \(x=-1\) meets the \(x\)-axis at the point \(P\) and the \(y\)-axis at the point \(Q\).

Find the area of the triangle \(OPQ\), where \(O\) is the origin.

Give your answer correct to 3 significant figures.[10]