Given that y=5x3+7x+3y = 5x^3 + 7x + 3y=5x3+7x+3, find dydx\displaystyle \frac{dy}{dx}dxdy.
Find d2ydx2\displaystyle \frac{d^2y}{dx^2}dx2d2y.
Find ∫(1+3x−1x2)dx\displaystyle \int \left( 1 + 3\sqrt{x} - \frac{1}{x^2} \right) dx∫(1+3x−x21)dx.
19 exam-style questions on Edexcel A Level Old Maths Differentiation and Integration 1. Each one has a worked solution and a mark scheme showing where the marks go.