Chapter 13.2, Problem 62E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

*Velocity of blood* In Problems 63 and 64, the velocity of blood through a vessel is given by
*K* is a constant, R is the (constant) radius of the vessel, and *r* is the distance of the particular corpuscle from the center of the vessel. The rate of flow can be found by measuring the volume of blood that flows past a point in a given time period. This volume, *V,* is given by

Develop a general formula of *V* by evaluating

To determine

**To calculate:** The general formula for volume of vessel if volume *V* is given by

Explanation

**Given Information:**

The volume *V* is given by

**Formula used:**

To calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

The value of the integral

**Calculation:**

Consider the volume *V* is given by

Evaluate the integral

Since,

Thus, the integral is

Recall that to calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

Thus, evaluate the integral

Sect-13.1 P-1CPSect-13.1 P-2CPSect-13.1 P-1ESect-13.1 P-2ESect-13.1 P-3ESect-13.1 P-4ESect-13.1 P-5ESect-13.1 P-6ESect-13.1 P-7ESect-13.1 P-8E

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