AP

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

Problem

Evaluate

\displaystyle \int \frac{x^{3}}{x^{2}+1}\,dx

. (a)

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

(b)

\dfrac{x^{2}}{4} - \dfrac{1}{2}\ln (x^{2}+1) + C

(c)

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

(d)

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