Question

(i) The area bounded by the curve y = f(x) x-axis and the line x= a and x= b is……

(ii) Find the area enclosed between the Parabola y = x² and the straight line 2x – y + 3 = 0

Answer 1

(i)

(ii)

The point of intersection of y = x² and 

2x - y + 3 = 0 is ⇒ y = 2x + 3

⇒ 2x + 3 = x² ⇒ x² - 2x - 3 = 0

⇒  (x - 3) (x + 1) = 0 ⇒  x = -1,3

Hence points are (3,9) and (-1,1)