Additional Mathematics 0606 / Calculus — Integration / 3.863.86: Integrals involving 1x2+3\dfrac{1}{x^{2}+3}x2+31 and an exponential0606/23/O/N/24 — Question 6 · 5 marksMark as done · Save for later · Show all solutions(a)Find ∫1x2+3 dx\displaystyle\int \dfrac{1}{x^{2} + 3}\,\mathrm{d}x∫x2+31dx.[2]▸ Answer(b)Find, in terms of aaa, ∫00.5e1−2x dx\displaystyle\int_{0}^{0.5}\mathrm{e}^{1-2x}\,\mathrm{d}x∫00.5e1−2xdx with upper limit aaa if printed as ∫0ae1−2x dx\int_{0}^{a}\mathrm{e}^{1-2x}\,\mathrm{d}x∫0ae1−2xdx.[3]▸ Answer▸ Official mark scheme← 3.80: Intersection of curve and line; shaded area3.84: Definite cos integral and algebraic integral →
