Show that ∫1k(1+3x) dx=k+2k32−3\displaystyle \int_1^k (1 + 3\sqrt{x})\,dx = k + 2k^{\frac{3}{2}} - 3∫1k(1+3x)dx=k+2k23−3, where k>1k > 1k>1
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.