The curve with the equation f(x)f(x)f(x) passes through the point (1, 2)
Given that f′(x)=5+3x2+2x12\displaystyle f'(x) = 5 + \frac{3x^2 + 2}{x^{\frac{1}{2}}}f′(x)=5+x213x2+2
Find f(x)f(x)f(x) giving your answer in its simplest form.
Practise Edexcel AS Level Maths Integration with exam-style questions for AS Level Maths. 39 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 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.