Area of Region (Calculus)

Question

(Reference 22F Q4 c)

Question: Find the exact area of the region bounded by:

y= root ((x²-1)/x²) with domain x is equal or greater than 1, and the lines x=0, y=0, and y=1/2.

Answer: pi/6 units^2

Answer 1

Aewa S = ∫₁^2/√3[1/2 - √(x² - 1)/(x)]dx = π/6 - 1/2.

We have to do sub: x = sect.

You have to use x = 1, because x = 0 not in domain x ≥ 1.