Solve the integral `int (e^x)^(1/3) dx`

Expert Answers
justaguide eNotes educator| Certified Educator

The integral `int (e^x)^(1/3) dx` has to be determined.

`int (e^x)^(1/3) dx`

=> `int e^(x/3) dx`

=> `e^(x/3)/(1/3)`

=> `3*e^(x/3) + C`

The integral `int (e^x)^(1/3) dx = 3*e^(x/3) + C`