Additional Mathematics 0606 / Calculus — Integration / 3.843.84: Definite cos integral and algebraic 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. Show all working.[4]▸ Answer(b)Find ∫4x3x4+1 dx\displaystyle\int\dfrac{4x^{3}}{x^{4}+1}\,\mathrm{d}x∫x4+14x3dx.[3]▸ Answer▸ Official mark scheme← 3.86: Integrals involving 1x2+3\dfrac{1}{x^{2}+3}x2+31 and an exponential3.40: Area involving a tangent to a reciprocal-power curve →
