Additional Mathematics 0606 / Calculus — Integration / 2.202.20: Differentiation leading to integration0606/21/O/N/17 — Question 5 · 6 marksMark as done · Save for later · Show all solutions(i)Find ddx(53x+2)\dfrac{\mathrm{d}}{\mathrm{d}x}\left(\dfrac{5}{3x + 2}\right)dxd(3x+25).[2]▸ Answer(ii)Use your answer to part (i) to find ∫30(3x+2)2 dx\displaystyle\int \frac{30}{(3x + 2)^{2}}\,\mathrm{d}x∫(3x+2)230dx.[2]▸ Answer(iii)Hence evaluate ∫1230(3x+2)2 dx\displaystyle\int_{1}^{2} \frac{30}{(3x + 2)^{2}}\,\mathrm{d}x∫12(3x+2)230dx.[2]▸ Answer▸ Official mark scheme← 1.75: Power integration and solving for a limit2.21: Finding y from a second derivative →
