Additional Mathematics 0606 / Logarithmic and exponential functions / 3.153.15: Differentiate and integrate (3x+1) ln(3x+1)0606/11/M/J/23 — Question 10 · 7 marks · Exponentials, Log lawsMark as done · Save for later · Show all solutionsIt is given that y=(3x+1)2ln(3x+1)y = (3x + 1)^{2}\ln(3x + 1)y=(3x+1)2ln(3x+1).(a)Find dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}dxdy.[3]▸ Answer(b)Hence find ∫(3x+1)ln(3x+1) dx\displaystyle\int(3x + 1)\ln(3x + 1)\,\mathrm{d}x∫(3x+1)ln(3x+1)dx.[4]▸ Answer▸ Official mark scheme← 3.39: Single lg and quadratic in log_a 43.16: Composite with ln and inverse sketch data →
