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Consider the following line integral over the given plane curve. Use x as the parameter to write parametric equations for C where 0 ≤ x ≤ starting at the point (0, 0). X = X (x5y + sin(x)) dy, C is the arc of the parabola y = x² from (0, 0) to (ñ, π²) y = x² Use x as a parameter of C to write an equivalent integral in only the variable x. SC x ) ax √(x³y + sin(x)) dy = Evaluate the line integral. 4

Consider the following line integral over the given plane curve. Use x as the parameter to write parametric equations for C where 0 ≤ x ≤ starting at the point (0, 0). X = X (x5y + sin(x)) dy, C is the arc of the parabola y = x² from (0, 0) to (ñ, π²) y = x² Use x as a parameter of C to write an equivalent integral in only the variable x. SC x ) ax √(x³y + sin(x)) dy = Evaluate the line integral. 4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Consider the following line integral over the given plane curve. Jo (xy + sin(x)) dy, C is the arc of the parabola y = x² from (0, 0) to (π, π²) Use x as the parameter to write parametric equations for C where 0 ≤ x ≤ starting at the point (0, 0). X = X y = x² Use x as a parameter of C to write an equivalent integral in only the variable x. (C √(x³y + sin(x)) dy = Evaluate the line integral. X dx
Transcribed Image Text:Consider the following line integral over the given plane curve. Jo (xy + sin(x)) dy, C is the arc of the parabola y = x² from (0, 0) to (π, π²) Use x as the parameter to write parametric equations for C where 0 ≤ x ≤ starting at the point (0, 0). X = X y = x² Use x as a parameter of C to write an equivalent integral in only the variable x. (C √(x³y + sin(x)) dy = Evaluate the line integral. X dx
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