Determine the exact value of .

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

Problem

Determine the exact value of

\displaystyle \int_{0}^{1} x^{3}e^{x^{2}}\,dx

. (a)

\dfrac{e-1}{2}

(b)

1

(c)

\dfrac12

(d)

\dfrac{e}{2}