What is the Fundamental Theorem of line integrals Explain how it relates to the Fundamental Theorem of Calculus Let C be a smooth THEOREM 1 Fundamental Theorem of Line Integrals curve joining the point A to the point B in the plane or in space and parame trized by r(t) Let f be a differentiable fun...

The Fundamental Theorem of Line Integrals establishes a relationship between line integrals and antiderivatives It states that if a curve C is smooth ...

What is the Fundamental Theorem of line integrals? Explain how it relates to the Fundamental Theorem of

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What is the Fundamental Theorem of line integrals? Explain how it relates to the Fundamental Theorem of Calculus.

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Thomas Calculus Early Transcendentals

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Use the Fundamental Theorem of Line Integrals to calculate F dr C exactly. F = 2x?i? ? 4y?j? + (2z ? 3)k and C is the line from (1, 1, 1) to (2, 3, ?1).
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What is the Fundamental Theorem of line integrals? Explain how it relates to the Fundamental Theorem of

Question:

Let C be a smooth THEOREM 1-Fundamental Theorem of Line Integrals curve joining the point A to the point B in the plane or in space and parame- trized by r(t). Let f be a differentiable function with a continuous gradient vector F = Vf on a domain D containing C. Then [... F.dr = f(B) f(A). -

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The Fundamental Theorem of Line Integrals establishes a relationship between line integrals and antiderivatives It states that if a curve C is smooth ...View the full answer

Thomas Calculus Early Transcendentals

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