Question

Find the area of region bounded by the line x = 2 and the parabola y² = 8x

Answer 1

Given, equation of line x = 2 and parabola y² = 8x

Putting value of x in the other equation, we have

y² = 8(2)

y² = 16

So, y = ± 4

Now, the required area is

Therefore, the area of the region = 32/3 sq. units