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 \frac{4x}{1+x^{2}}\,dx

. (a)

2\arctan(x)+C

(b)

2\ln|1+x^{2}|+C

(c)

\ln|1+x^{2}|+C

(d)

4\ln|x|+C