Q23 of 25 Page 8

Using integration find the area of the region: .


Given;


By solving the Equations;



x2 − 2x + 1 = 5 − x2


2x2 − 2x − 4 = 0


∴ x = −1, 2



x2 − 2x + 1 = 5 − x2


2x2 − 2x − 4 = 0


∴ x = −1, 2


Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .


∴ Required Area








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