Evaluate the improper integral .

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

Problem

Evaluate the improper integral

\displaystyle\int_1^\infty\frac{1}{x^3}\,dx

. (a)

1

(b)

\dfrac{1}{3}

(c)

\dfrac{1}{2}

(d) The integral diverges