A curve has equation y=f(x)y = f(x)y=f(x) and passes through the point (4,22)(4, 22)(4,22).
Given that
f′(x)=3x2−3x12−7, f'(x) = 3x^2 - 3x^{\frac{1}{2}} - 7, f′(x)=3x2−3x21−7,use integration to find f(x)f(x)f(x), giving each term in its simplest form.
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.