Which of the following definite integrals is improper primarily because one of its…

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

Problem

Which of the following definite integrals is improper primarily because one of its limits of integration is infinite? (a)

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

(b)

\displaystyle \int_{0}^{1} \frac{\ln x}{\sqrt{x}}\,dx

(c)

\displaystyle \int_{0}^{\infty} (3x+1)\,dx

(d)

\displaystyle \int_{0}^{1} \frac{1}{\sqrt{1-x}}\,dx