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Solved: Volumes with infinite integrands Find the volume
Chapter 7, Problem 38E(choose chapter or problem)
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.