Additional Mathematics 0606 / Trigonometry / 3.463.46: Definite cosine integral and rational integral0606/22/M/J/24 — Question 2 · 7 marksMark as done · Save for later · Show all solutions(a)Evaluate ∫π/3π/24 cos x dx\displaystyle\int_{\pi/3}^{\pi/2} 4\,\mathrm{cos}\,x\,\mathrm{d}x∫π/3π/24cosxdx. You must show all your working.[4]▸ Answer(b)Find ∫(4x3−3x+1) dx\displaystyle\int(4x^{3}-3x+1)\,\mathrm{d}x∫(4x3−3x+1)dx.[3]▸ Answer▸ Official mark scheme← 3.45: Normal to a curve3.47: Polynomial factors then sine equation →