Apentix/AP Calculus AB/Unit 6: Integration and Accumulation of Change/Question

AP Calculus ABhardmcq1 pt

Which of the following equals $\int \frac{x^2+x-2}{x+1}\,dx$ ?

A.

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

B.

\frac{x^2}{2}+2\ln|x+1|+C

C.

\frac{x^2}{2}-2\ln|x+1|

D.

x-\frac{2}{x+1}+C

Explanation

Core Concept

Long division gives $x-\frac{2}{x+1}$ . Integrating gives $\frac{x^2}{2}-2\ln|x+1|+C$ .

Correct Answer

A $\frac{x^2}{2}-2\ln|x+1|+C$

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