Select all expressions matching the value of the definite integr int _(-3)^1e^(x)/(3)dx 3sqrt [3](e)-3e^-1 3sqrt [3](e)-(3)/(e) e^-1(3e^(4)/(3)-3) (3(e^frac (4)/(3)-1))(e)

Question

Answer 1

To find the value of the definite integral

, we can use the substitution method.Let

, then

, and

.Substituting these values into the integral, we get:

Now, we can integrate with respect to

:

Using the integral of

, we have:

Evaluating the definite integral, we get:

Therefore, the correct answer is:

Вопрос