Evaluate ( x^ 3 +2x^ 2 -5x+3 x+1 ,dx ).

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

Problem

Evaluate ∫x3+2x2−5x+3x+1 dx\displaystyle \int \frac{x^{3}+2x^{2}-5x+3}{x+1}\,dx. (a) x33+x22−6x+9ln⁡∣x+1∣+C\dfrac{x^{3}}{3}+\dfrac{x^{2}}{2}-6x+9\ln|x+1|+C (b) x33+x22−6x+ln⁡∣x+1∣+C\dfrac{x^{3}}{3}+\dfrac{x^{2}}{2}-6x+\ln|x+1|+C (c) x33+x22−6x−9ln⁡∣x+1∣+C\dfrac{x^{3}}{3}+\dfrac{x^{2}}{2}-6x-9\ln|x+1|+C (d) x33+x22−6x+9(x+1)+C\dfrac{x^{3}}{3}+\dfrac{x^{2}}{2}-6x+9(x+1)+C

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