`int_1^8(x^(-2/3))dx` Evaluate the integral.

Expert Answers
mathace eNotes educator| Certified Educator

Evaluate `int_1^8(x^(-2/3))dx`

Integrate the function. `inta^n=a^(n+1)/(n+1)`

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

Evaluate the function from x=1 to x=8.

`=3[8^(1/3)-1^(1/3)]`

`=3[2-1]`

=3

 

Access hundreds of thousands of answers with a free trial.

Start Free Trial
Ask a Question