Maths Core WMA01/WMA02: INTEGRATION Topical Past Paper Questions

Find, showing all steps of your working, the exact value of $$ \int_{1}^{3}\frac{3x^{2}+8}{x^{2}-4x}\mathrm{d}x $$

Figure 4 Figure 4 shows a sketch of the curve with equation $ y = 12x^{2}\ln(2x^{2}) $, x > 0 The finite region R, shown shaded in Figure 4, is bounded by the curve, the line with equation x = 1, the x-axis and the line with equation x = 2 The table below shows corresponding valu…

Figure 4 Figure 4 shows a sketch of part of the curve C with equation $$ y=\frac{1}{2x}\ln2x,\qquad x>\frac{1}{2} $$ The finite region $R$, shown shaded in Figure 4, is bounded by the curve $C$, the x-axis and the lines with equations $x = e$ and $x = 5e$. The table below shows c…