Additional Mathematics 0606 / Calculus — Integration / 3.693.69: Integrals involving exponential, reciprocal and sec0606/23/O/N/25 — Question 4 · 7 marksMark as done · Save for later · Show all solutions(a)(i)Integrate e5−2x\mathrm{e}^{5 - 2x}e5−2x with respect to xxx.[2]▸ Answer(a)(ii)Integrate (4x−3)−1(4x - 3)^{-1}(4x−3)−1 with respect to xxx, where x>34x > \dfrac{3}{4}x>43.[2]▸ Answer(b)Show that ∫π/6π/3sec2x dx=23\displaystyle\int_{\pi/6}^{\pi/3}\sec^{2} x\,\mathrm{d}x = \dfrac{2}{\sqrt{3}}∫π/6π/3sec2xdx=32.[3]▸ Answer▸ Official mark scheme← 3.81: Area between exponential curves3.78: Area between curve, tangent and xxx-axis →
