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If C is the rectangle bounded by the lines $x = 0, x = a, y = 0, y = b$, then the value of $\int_{C}(x^{2} + y^{2})dx - 2xy dy$ is}

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Green's Theorem is your best friend for line integrals around a closed rectangle or circle.

Updated On: Jul 3, 2026

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The torque due to the force $ \left( 2\hat{i} + \hat{j} + 2\hat{k} \right) $ about the origin, acting on a particle whose position vector is $ \hat{i} + \hat{j} + \hat{k} $, would be:
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