`int_1^18(sqrt(3/z))dz` Evaluate the integral.

Textbook Question

Chapter 5, 5.3 - Problem 36 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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mathace | (Level 3) Assistant Educator

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Evaluate `int_1^18(3/z)^(1/2)dz`

`=int_1^18sqrt(3)z^(-1/2)dz`

`=sqrt(3)int_1^18z^(-1/2)dz`

Integrate the function. 

`=sqrt(3)[z^(1/2)/(1/2)]=sqrt(3)[2z^(1/2)]` 

Evaluate the function from 1 to 18.

`=sqrt(3)[2(18)^(1/2)-2(1)^(1/2)]`

=11.233 

 

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