The area enclosed between the parabola y=x^2-x+2 and the line y=x+2 in sq. units equals

Question

Accepted Answer

Correct answer: D. (d) : y=x^2-x+2 ,y=x+2 intersect at (0 ,2 ) , (2 ,4 ). Required area = _0^2 0.05em(x+2-x^2+x-2) dx = _0^2 0.05em(2x-x^2) dx =(2 (x^2 )2- x^33)_0^2=4- 83= 43 sq. units.

$The area enclosed between the parabola y = x^{2} - x + 2 and the line y = x + 2 in sq. units equals$

Solution

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