What is the integral of ln [e^(3x)]?

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hala718 eNotes educator| Certified Educator

`int e^(3x) dx `

`==gt u= 3x ==gt du = 3 dx `

`==gt int e^(3x) dx = int e^u (du)/3 `

`==gt int e^(3x) dx = (1/3) int e^u du = (1/3) e^u + C `

`==gt int e^(3x) dx = (1/3) e^(3x) + C`

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