Determine the value of the integral .

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

Problem

Determine the value of the integral

\displaystyle \int_{0}^{\infty} e^{-3x}\,dx

. (a) The integral diverges (b)

\dfrac{1}{6}

(c)

\dfrac{1}{3}

(d)

\dfrac{1}{9}