Calculate the area under the graph of f of x equals the reciprocal of x squared in the first quadrant

Question

Calculate the area under the graph of  in the first quadrant

A
B
C	π
D	∞

Answer 1

If you plot the curve, you will see in the first quadrant that it goes from zero to infinity.

Area =∫₀^∞1/(x²+1)dx = tan^-1(x) |₀^∞ = π/2 Answer B