Additional Mathematics 0606 / Calculus — Integration / 3.323.32: Differentiate ln of a cubic and integrate0606/23/M/J/23 — Question 3 · 4 marksMark as done · Save for later · Show all solutions(a)Differentiate ln(x3+3x2)\ln(x^{3} + 3x^{2})ln(x3+3x2) with respect to xxx, simplifying your answer.[2]▸ Answer(b)Hence find ∫3x2+6xx3+3x2 dx\displaystyle\int\dfrac{3x^{2} + 6x}{x^{3} + 3x^{2}}\,\mathrm{d}x∫x3+3x23x2+6xdx.[2]▸ Answer▸ Official mark scheme← 3.85: Area between curve and line; integrals3.79: Integration identity and shaded area →
