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\frac{x}{1+x^4}\,dx

. (a)

\dfrac{1}{2}

(b)

\dfrac{\pi}{2}

(c)

\dfrac{\pi}{4}

(d) The integral diverges