Find the area bounded by the curve

Question

Find the area bounded by the curve

x = t − (1/t)

y = t + (1/t)

and the line y = (17/4).

Area = ? .

Answer 1

x = 1 - 1/t

y = 1 + 1/t

1/t = y - 1 So, x = 1 - (y - 1)

y = x + 2 (graph is a line)

y = 17/4 (graph is a horizontal line)

The region is a right triangle. Draw the region. You can find the area by integration or by using basic geometry.