Question

Find the area bounded by the x-axis, part of the curve y = (1 + (8/x²)) and the ordinates at x = 2 and x = 4. If the co-ordinates at x = a divides the area into two equal parts, find a.

Answer 1

Given curve is

It is given that

2a – (16/a) = 0

2a² = 16

a² = 8

a = 2√2 

Hence, the value of a is 2√2.