Explanation Given: c is line segment from (1,0) to (0,1) Formula used: Parametric equation for line segment from ( x 0 , y 0 ) to ( x 1 , y 1 ) is x = ( 1 − t ) x 0 + t x 1 y = ( 1 − t ) y 0 + t y 1 for 0 ≤ t ≤ 1 d d t t n = n t n − 1 ∫ t n d t = t n + 1 n + 1 ∫ 1 1 + x 2 d x = tan − 1 x + c Calculation x = ( 1 − t ) x 0 + t x 1 = t implies

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 17.2, Problem 33E

To determine

To evaluate: The line integral $\int_{c} \frac{- y d x + x d y}{x^{2} + y^{2}}$ where C is line segment from (1,0) to (0,1)

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Chapter 17.2, Problem 32E

Chapter 17.2, Problem 34E

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Chapter 17 Solutions

CALCULUS (CLOTH)

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The line integral ∫ c − y d x + x d y x 2 + y 2 where C is line segment from (1,0) to (0,1)

Solution Summary: The author evaluates the value of the line integral over the given curve C.

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To evaluate: The line integral $\int_{c} \frac{- y d x + x d y}{x^{2} + y^{2}}$ where C is line segment from (1,0) to (0,1)

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Chapter 17 Solutions

The line integral ∫ c − y d x + x d y x 2 + y 2 where C is line segment from (1,0) to (0,1)

Solution Summary: The author evaluates the value of the line integral over the given curve C.

Concept explainers

Videos

To evaluate: The line integral ∫c−ydx+xdyx2+y2 where C is line segment from (1,0) to (0,1)

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Chapter 17 Solutions

To evaluate: The line integral $\int_{c} \frac{- y d x + x d y}{x^{2} + y^{2}}$ where C is line segment from (1,0) to (0,1)