Which statement correctly describes the indefinite integral ?

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

Problem

Which statement correctly describes the indefinite integral

\displaystyle \int e^{-x^{2}}\,dx

? (a)

-e^{-x^{2}}+C

(b)

\dfrac{\sqrt{\pi}}{2}\,\operatorname{erf}(x)+C

, where

\operatorname{erf}

is an elementary function (c) It cannot be expressed in terms of elementary functions. (d)

-\dfrac{1}{2x}\,e^{-x^{2}}+C