Solved: Volumes with infinite integrands Find the volume

Chapter 7, Problem 38E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Volumes with infinite integrands  Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by \(f(x)=\left(x^{2}-1\right)^{-1 / 4}\) and the x-axis on the interval (1,2] is revolved about the y-axis.

Questions & Answers

QUESTION:

Volumes with infinite integrands  Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by \(f(x)=\left(x^{2}-1\right)^{-1 / 4}\) and the x-axis on the interval (1,2] is revolved about the y-axis.

ANSWER:

Problem 38E

Volumes with infinite integrands Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by f(x) = (x2 − 1)−1/4 and the x-axis on the interval (1, 2] is revolved about the y-axis.

Answer;

 

Step 1;

             The shell method ; If R is the region under the curve y = f(x)  on the interval [a , b] , then the volume of the solid  obtained by revolving R  about the y-axis is

                                           V = 2x f(x) dx.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back