Use the Fundamental Theorem of Line Integrals to evaluate[F.F(x, y) = (ln(y + 1)F. DR where1x1(−2r + 1)²² y + 1+ y² + 1).2xand C is the portion of the parabola y = −x² + 1 from (1,0) to (0, 1).

Given: F→x,y=lny+1-1-2x+12, xy+1+1y2+1 C is the portion of the parabola y=-x2+1 from 1,0 to 0,1.…

Use the Fundamental Theorem of Line Integrals to evaluate F. dR where x 1 (−2x + 1)²³ y +1 and C is the portion of the parabola y = −x² + 1 from (1,0) to (0, 1). F(x, y) = ( ln(y + 1) - 1 + y² + 1) +1

Use the Fundamental Theorem of Line Integrals to evaluate F. dR where x 1 (−2x + 1)²³ y +1 and C is the portion of the parabola y = −x² + 1 from (1,0) to (0, 1). F(x, y) = ( ln(y + 1) - 1 + y² + 1) +1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

Use the Fundamental Theorem of Line Integrals to evaluate
[F.
F(x, y) = (ln(y + 1)
F. DR where
1
x
1
(−2r + 1)²² y + 1+ y² + 1).
2x
and C is the portion of the parabola y = −x² + 1 from (1,0) to (0, 1).

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