Chapter 16.2, Problem 7E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the line integral, where *C* is the given curve.

**7.** ∫* _{C}* (

To determine

**To Evaluate:** The line integral

Explanation

**Given data:**

The given curve

The evaluation of integral

Therefore, write the line integral

Here,

**Parametric equations of**
**:**

Consider the parametric equations such that the parameters must satisfy the line segment points

The parameters are satisfied for the points
*x*.

**Calculation of**
** for the line segment**
**:**

Differentiate on both sides of the expression

**Parametric equations of**
**:**

Consider the parametric equations such that the parameters must satisfy the line segment points

The parameters are satisfied for the points
*x*.

**Calculation of**
** for the line segment**
**:**

Differentiate on both sides of the expression

Sect-16.1 P-1ESect-16.1 P-2ESect-16.1 P-3ESect-16.1 P-4ESect-16.1 P-5ESect-16.1 P-6ESect-16.1 P-7ESect-16.1 P-8ESect-16.1 P-9ESect-16.1 P-10E

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