Q16 of 25 Page 8

Using integration find the area of the region bounded by the line x – y + 2 = 0, the curve and y-axis.


Given; the line x – y + 2 = 0, the curve x = √y and y-axis


By solving these equations


x − x2 + 2 = 0


⇒ (x + 1)(x − 2) = 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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