Evaluate \[ \int \frac{e^x}{e^x+1}\,dx. \]
Solution
Let \(u=e^x+1\), so \(du=e^x\,dx\). Then \[ \boxed{\int \frac{e^x}{e^x+1}\,dx=\ln(e^x+1)+C.} \]
$\int\frac{e^x}{e^x+1}\,dx$
P-EAYXF
- Area
- Prelim
- Topics
- Integrals, u-Substitution
- Status
- draft
P-EAYXF
Evaluate \[ \int \frac{e^x}{e^x+1}\,dx. \]
Let \(u=e^x+1\), so \(du=e^x\,dx\). Then \[ \boxed{\int \frac{e^x}{e^x+1}\,dx=\ln(e^x+1)+C.} \]