Find the integral.
-$\int \frac{e^{x} d x}{e^{x}+e}$
A) $e \ln \left|e^{x}+e\right|+C$
B) $x+C$
C) $\ln \left|e^{x}+e\right|+C$
D) $\frac{x}{e^{x}+C}$

Name: Find the integral. -$\int \frac{e^{x} d x}{e^{x}+e}$ A) $e \ln \left|e^{x}+e\right|+C$ B) $x+C$ C) $\ln \left|e^{x}+e\right|+C$ D) $\frac{x}{e^{x}+C}$
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Question

Quizplus · Accepted Answer

The integral can be solved using substitution. Let $ u = e^x + e $, then $ du = e^x dx $. The integral becomes $\int \frac{1}{u} du = \ln |u| + C = \ln |e^x + e| + C$.

Find the Integral ∫exdxex+e\int \frac{e^{x} d x}{e^{x}+e}∫ex+eexdx​ A) eln⁡∣ex+e∣+Ce \ln \left|e^{x}+e\right|+Celn∣ex+e∣+C B) x+Cx+Cx+C

Find the Integral $\int \frac{e^{x} d x}{e^{x}+e}$ A) $e \ln \left|e^{x}+e\right|+C$ B) $x+C$