Category Archives: Integrals

Integrating Analytic functions over close curves (Cauchy’s integral theorem)

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Evaluating integral using Cauchy’s integral formula with two singular points

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The only example you need to know to understand Green’s theorem

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IB Integral question

Use a suitable method of integration to show

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Evaluating a double integral using both rectangular and polar coordinates

Evaluate using both polar and rectangular coordinates

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Partial fraction of irreducible and repeated quadratic factor

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Partial fraction when linear factor is repeated

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Green’s theorem over semi circular region and where polar coordinates could be useful

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Evaluating surface integrals with rectangular coordinates

Find the surface integral of the function over the surface in the first octant.

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Calculus 2: True False (Partial Fraction) and Divergence of Integral

The partial fraction decomposition of the rational function is for some constants and . The following improper integral diverges

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