Which of the following definite integrals is improper because the integrand is…

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 because the integrand is unbounded at

x=2

within the interval of integration? (a)

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

(b)

\displaystyle \int_{2}^{5}(x-2)^2\,dx

(c)

\displaystyle \int_{1}^{3}\frac{1}{(x-2)^2}\,dx

(d)

\displaystyle \int_{0}^{3}\frac{1}{x^2+4}\,dx