The value of is equal to

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

Problem

The value of

\int_{0}^{\infty} e^{-a^{2}x^{2}}\,dx

is equal to (1)

\frac{\sqrt{\pi}}{2a}

(2)

\frac{\pi}{2a}

(3)

\frac{\pi}{\sqrt{2a}}

(4) None of these