Use integration to show that the area enclosed by xxx-axis and the curve with equation y=(x+k)(x−1)2y = (x + k)(x - 1)^2y=(x+k)(x−1)2, where k>0k>0k>0, is (k+1)412\displaystyle \frac{(k+1)^4}{12}12(k+1)4 square units.
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.