Find the antiderivative of with respect to .

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

Problem

Find the antiderivative of

\displaystyle \frac{2x+1}{x^{2}+2x+1}

with respect to

x

. (a)

\ln|x+1|+\dfrac{1}{x+1}+C

(b)

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

(c)

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

(d)

2\ln|x+1|+C