Integral question: find indefinite integral of 3e^5t

[twinmom]

To find the indefinite integral of 3e^5t, wouldn't the answer be the same (3e^5t) since the integral of an exponential function with base e is equal to the function itself?

 

[galactus]

No. Use the chain rule.

 

[pka]

Because the indefinite ingeral is just the anti-derivative consider this:
\(\displaystyle \L\frac{{d\left( {\frac{3}{5}e^5 } \right)}}{{dx}} = 3e^5 .\)