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.
Practise Edexcel A Level Old Maths Differentiation and Integration 1 with exam-style questions for A Level Old Maths. 19 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.