Find an antiderivative of ( x^ 4 -1 x^ 2 +x

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

Problem

Find an antiderivative of

\dfrac{x^{4}-1}{x^{2}+x}.

(a)

\dfrac{x^{3}}{3}-\dfrac{x^{2}}{2}+x-\ln|x+1|+C

(b)

\dfrac{x^{3}}{3}-\dfrac{x^{2}}{2}+x+\ln|x|+C

(c)

\dfrac{x^{3}}{3}-\dfrac{x^{2}}{2}+x-\ln|x|+C

(d)

\dfrac{x^{3}}{3}-\dfrac{x^{2}}{2}+x-\ln|x(x+1)|+C