2324 Find the exact value of C F dr using any method. F(x, y) = 2xyi + (x2 + cos y)jC

Chapter 15, Problem 24

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Find the exact value of $\int_{C} F \cdot d r$ using any method.

$F(x,\ y)=2xyi+\left(x^2+\cos\ y\right)j$

$C:r(t)=ti+t\ \cos(t/3)j\quad\ \ \ (0\le t\le\pi)$

Equation Transcription:

∫C $F\cdot{}dr$

$F(x,\ y)=2xyi+({x}^{2}+cos\ y)j$

$C:r(t)=ti+t\ cos(t/3)j\ \ \ \ \ (0\leq{}t\leq{}\pi{})$

Text Transcription:

int_C F cdot dr

F(x, y)=2xyi+(x^2 + cos y)j

C:r(t)=ti+t cos(t/3)j (0 leq t leq pi)

Image text transcription: Find the exact value of CF dr using any method.

F(x, y) = 2xyi + (x2 + cos y)j

C : r(t) = t i + t cos(t/3) j (0 ≤ t ≤ π)

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