The diagram shows part of the graph of y=8x13−4x13\displaystyle y = 8x^{\frac{1}{3}} - \frac{4}{x^{\frac{1}{3}}}y=8x31−x314
The shaded region is enclosed by the curve, the xxx-axis and the lines x=1x = 1x=1 and x=ax = ax=a, where a>1a > 1a>1
Given that the area of the shaded area is 36 square units, find the exact value of aaa.
Integration Questions
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.