AP Calculus ABmediummcq1 pt

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

A.2x+lnx+C2x+\ln|x|+C
B.2+1x+C2+\frac{1}{x}+C
C.2x+lnx2x+\ln|x|
D.2x+1x+C2x+\frac{1}{x}+C

Explanation

Core Concept

Divide to get 2+1x2+\frac{1}{x}. Integrating gives 2x+lnx+C2x+\ln|x|+C.

Correct Answer

A2x+lnx+C2x+\ln|x|+C

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