AP

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

Problem

Find

\displaystyle\int \frac{x}{1+x^{2}}\,dx

. (a)

\arctan x + C

(b)

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

(c)

\dfrac12\,\ln(1+x^{2})+C

(d)

\ln(1+x^{2})+C