Maths Integration Question?

Romania
February 16, 2011 10:43am CST
A figure shows a part of a curve C with equation y=f(x) where f(x)=x^3-6x^2+5x The curve crosses the x-axis at the origin 0 and at the points A and B a) factorise f(x) completely b) write down the coordinates of the points A and B c) Find the gradient of C at A The region R is bounded by C and OA and the region S is bounded by C and the line AB d) Use intergration to find the area of the combined regions R and S, show shadedin the figure Additional info( 0-A it is shaded than from A-B it is shaded the point S is in between AB) Please help out need a quick reply thanks alot
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