Determine the value of .

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

Problem

Determine the value of

\displaystyle \int_{0}^{1} \frac{x}{(1+x^{2})^{3}}\,dx

. (a)

\dfrac{1}{8}

(b)

\dfrac{3}{16}

(c)

\dfrac{3}{8}

(d)

\dfrac{3}{32}