Given that
∫f(x) dx=13x3+32x2−10x+C \int f(x)\,dx=\frac{1}{3}x^3+\frac{3}{2}x^2-10x+C ∫f(x)dx=31x3+23x2−10x+Cfind f(x)f(x)f(x), giving your answer in fully factorised form.
411 exam-style questions on Edexcel A Level Maths Integration, covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines. Each one has a worked solution and a mark scheme showing where the marks go.