AP Calculus ABeasymcq1 pt

Which of the following equals (1x+ex)dx\int \left(\frac{1}{x}+e^x\right)\,dx?

A.lnx+ex+C\ln|x|+e^x+C
B.lnx+ex+C\ln x+e^x+C
C.lnx+ex\ln|x|+e^x
D.1+ex+C1+e^x+C

Explanation

Core Concept

The antiderivative of 1x\frac{1}{x} is lnx\ln|x| and the antiderivative of exe^x is exe^x. Together they give lnx+ex+C\ln|x|+e^x+C.

Correct Answer

Alnx+ex+C\ln|x|+e^x+C

More Unit 6: Integration and Accumulation of Change practice questions

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 6: Integration and Accumulation of Change Questions →