Mathematics · Vector Calculus

If C is the circle x2 + y2 = 1 evaluated in the counter-clockwise direction, then the value of the line integral ∫C [(x2015y2016 + 2014y) dx + (x2016y2015 + 2017x) dy] is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

13π✓
22π
3π
40

Correct answer

3π

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If C is the circle x2 + y2 = 1 evaluated in the counter-clockwise direction, then the value of the line integral ∫C [(x2015y2016 + 2014y) dx + (x2016y2015 + 2017x) dy] is:

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If C is the circle x2 + y2 = 1 evaluated in the counter-clockwise direction, then the value of the line integral ∫C [(x2015y2016 + 2014y) dx + (x2016y2015 + 2017x) dy] is:

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