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Consider the line integral L(- In(2² + y°\j+ tan '(2)i). dr where C is the positively oriented boundary of the region D between the curves x? + y? = 1 and x2 + y? = 4 that lies above the x axis. Using Green's Theorem results in an equality of the following form: | (- In(a? + y')j + tan . dr Enter a, b, c, d and f(r, 0) below so that equality holds for equation (1) above. f(r, 0) = O sin(e) - sin(0) cos(e) tan(0) - cos(0) - tan(0)

Consider the line integral L(- In(2² + y°\j+ tan '(2)i). dr where C is the positively oriented boundary of the region D between the curves x? + y? = 1 and x2 + y? = 4 that lies above the x axis. Using Green's Theorem results in an equality of the following form: | (- In(a? + y')j + tan . dr Enter a, b, c, d and f(r, 0) below so that equality holds for equation (1) above. f(r, 0) = O sin(e) - sin(0) cos(e) tan(0) - cos(0) - tan(0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the line integral + y?)j + tan . dr where C is the positively oriented boundary of the region D between the curves x? + y? = 1 and x2 + y? = 4 that lies above the x axis. Using Green's Theorem results in an equality of the following form: L(- In(a² + y°)i + tan -1 .dr = Enter a, b, c, d and f(r, 0) below so that equality holds for equation (1) above. f(r, 0) = O sin(e) - sin(e) cos(0) tan(0) - cos(4) - tan(0) a b = c = d = a, b, c and d are integers. Do not use decimal points. EVALUATE the given line integral by integrating the double integral on the RHS of equation (1). Enter your answer below. The answer is an integer.
Transcribed Image Text:Consider the line integral + y?)j + tan . dr where C is the positively oriented boundary of the region D between the curves x? + y? = 1 and x2 + y? = 4 that lies above the x axis. Using Green's Theorem results in an equality of the following form: L(- In(a² + y°)i + tan -1 .dr = Enter a, b, c, d and f(r, 0) below so that equality holds for equation (1) above. f(r, 0) = O sin(e) - sin(e) cos(0) tan(0) - cos(4) - tan(0) a b = c = d = a, b, c and d are integers. Do not use decimal points. EVALUATE the given line integral by integrating the double integral on the RHS of equation (1). Enter your answer below. The answer is an integer.
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