f(x)=3x3−52x2+4x+12\displaystyle f(x) = 3x^3 - \frac{5}{2}x^2 + 4x + \frac{1}{2}f(x)=3x3−25x2+4x+21
Given that the point (1,k)(1, k)(1,k) lies on y=f(x)y = f(x)y=f(x)
Find an expression for f′(x)f'(x)f′(x) and the value of kkk
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.