Question

evaluate the given integral
e^5x

Answer 1

\[\int e^{5x} dx\]
Let \(u=5x\),
then \(du=5dx\)
=> \(\frac{du}{5}=dx\)

Now, you get \[\int e^u \frac{1}{5}du\] \[=\frac{1}{5}\int e^u du\] \[=\frac{1}{5}e^u+C\]
Substitute back your substitution "u=5x":
\(\frac{1}{5}e^{5x}+C\)