Additional Mathematics 0606 / Calculus — Integration / 2.332.33: Polynomial and trigonometric integration0606/22/M/J/16 — Question 9 · 7 marksMark as done · Save for later · Show all solutions(a)Find ∫x3+x2+1x2 dx\displaystyle\int \frac{x^{3} + x^{2} + 1}{x^{2}}\,\mathrm{d}x∫x2x3+x2+1dx.[3]▸ Answer(b)(i)Find ∫sin(5x+π) dx\displaystyle\int \sin(5x + \pi)\,\mathrm{d}x∫sin(5x+π)dx.[2]▸ Answer(b)(ii)Hence evaluate ∫−π/50sin(5x+π) dx\displaystyle\int_{-\pi/5}^{0} \sin(5x + \pi)\,\mathrm{d}x∫−π/50sin(5x+π)dx.[2]▸ Answer▸ Official mark scheme← 2.1: Area bounded by a curve and two straight lines
