The curve with the equation y=f(x)y = f(x)y=f(x) passes through the point (1, 5)
Given that f′(x)=3+6x2+4x12\displaystyle f'(x) = 3 + \frac{6x^2 + 4}{x^{\frac{1}{2}}}f′(x)=3+x216x2+4
Find f(x)f(x)f(x) giving your answer in its simplest form.
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.