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Green's Theorem

GATE Engineering Sciences · Vector Calculus - Line Integrals and Green's Theorem · 2026-2026

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B. S. Grewal — Higher Engineering Mathematics

Linear algebra, calculus, probability, numerical methods

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2026 Q12

Let C be the circle (x – 1)² + y² = 25 oriented counterclockwise. Then, the value of the line integral $\oint_C [(x^5 – 3y)dx + (−2x + e^{y^2})dy]$ is

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