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Academics – Mathematics : 2013/JUL/08

Question

Q8. (a) Fig Q8(a) shows the area included between the function y = x² (3 - x) + 5 , the x and y axes and the ordinate x = 3.

Calculate the shaded area. (8)

(b) Integrate EACH of the following functions with respect to r:

(i) r + 5√r - 2/r² +7r^2/3 (4)

(ii) π - 2π sin⁡r + 4π cos⁡r (4)

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