Will it converge?
Calculus
Level
3
Which of the following integrals converge?
I. \(\displaystyle{\int_0^\infty \frac{\ln(x)}{x^2 + 1} \, dx}\)
II. \(\displaystyle{\int_1^\infty \frac{1}{(x-1)^2} \, dx}\)
III. \(\displaystyle{\int_0^{\pi/2} \sqrt{\tan(x)} \, dx}\)
by
Henry Maltby