Mathematics

Problem

The region in the first quadrant bounded above by

y=\dfrac{1}{x^{2}+1}

and below by

y=\dfrac{1}{(x+1)^{2}}

for

x\ge 0

is finite. Determine its exact area. a)

\dfrac{\pi}{2}+1

\pi-1

\dfrac{\pi}{2}-1

d) Diverges; the area is infinite