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_0^\infty 2xe^{-x^2}\,dx

. (a)

\dfrac{\sqrt{\pi}}{2}

(b)

\dfrac{1}{2}

(c)

1

(d) The integral diverges