Additional Mathematics 0606 / Calculus — Integration / 2.462.46: Definite integrals of rational and exponential functions0606/22/M/J/20 — Question 7 · 9 marksMark as done · Save for later · Show all solutionsGiving your answer in its simplest form, find the exact value of(a)∫04105x+2 dx\displaystyle\int_{0}^{4} \frac{10}{5x + 2}\,\mathrm{d}x∫045x+210dx,[4]▸ Answer(b)∫0ln2(e4x+2)2 dx\displaystyle\int_{0}^{\ln 2} (\mathrm{e}^{4x + 2})^{2}\,\mathrm{d}x∫0ln2(e4x+2)2dx.[5]▸ Answer▸ Official mark scheme← 2.14: Area between a power curve and a parabola2.67: Secant derivative and logarithmic integration →
