A curve cuts the xxx-axis at (2,0)(2, 0)(2,0) and has the gradient function
dydx=kx2 \frac{dy}{dx} = \frac{k}{x^2} dxdy=x2kwhere k k\,k is a non-zero constant.
Find the equation of the curve 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.