## Paper 33 May June 2019 Pure Math III – 9709/33/M/J/19

Check out my complete solution here: » Full Solutions « Like and subscribe too! =) 1.     Use logarithms to solve the equation $5^{3−2x} = 4(7^{x})$, giving your answer correct to 3 decimal places. $$\tag*{[4]}$$ 2.     Show that $\displaystyle \int_{0}^{\frac{1}{4}\pi} x^{2} \cos 2x \textrm{d}x = \frac{1}{32}(\pi^{2} \ – \ 8)$. …