Given that
∫(ax2+bx+c) dx=x3+72x2−2x+C \int (ax^2+bx+c)\,dx=x^3+\frac{7}{2}x^2-2x+C ∫(ax2+bx+c)dx=x3+27x2−2x+CFind the values of aaa, b b\,b and ccc.
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.