Question

The tangent to the curve y=4/x at the point P(1, 4) cuts the x-axis at point A and the y-axis at point B.
Calculate the area of the triangle AOB where O is the origin.

Answer 1

a=1/2abd(sin(2x))-arccosh(pi/4)
where a=b^2+c=9-4
so a=3/4