Which of the following improper integrals represents a region of finite area in the…

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Which of the following improper integrals represents a region of finite area in the

xy

-plane? (a)

\displaystyle \int_{-1}^{1}\frac{1}{x^{2}}\,dx

(b)

\displaystyle \int_{1}^{\infty}\frac{1}{x}\,dx

(c)

\displaystyle \int_{0}^{\infty}e^{-x}\,dx

(d)

\displaystyle \int_{1}^{\infty}\frac{1}{\sqrt{x}}\,dx