Integration
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Question 152
The sketch shows the curve y=ax−x2y = ax - x^2y=ax−x2 and the straight line y=bxy = bxy=bx. The line intersects the curve at (0,0)(0, 0)(0,0) and (8,16)(8, 16)(8,16), and the area of the shaded region is 2563\displaystyle \frac{256}{3}3256.
a.[2]
Find the values of a a\,a and bbb.
b.[6]
Verify that the area of the shaded region is 2563\displaystyle \frac{256}{3}3256.
Integration Questions
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.