Find ∫x2(2x+25x)dx\displaystyle \int x^2 \left(2x + \frac{25}{\sqrt{x}}\right) dx∫x2(2x+x25)dx
Find ∫1kx2(2x+25x)dx\displaystyle \int_1^k x^2 \left(2x + \frac{25}{\sqrt{x}}\right) dx∫1kx2(2x+x25)dx, where k k\,k is a positive constant, giving your answer in terms 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.