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CAS integrals of discontinuous functions

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#calculus #integration #indefinite-integrals #mathematica #computer-algebra-systems
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177
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#calculus #ordinary-differential-equations #mathematica
82
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#probability-theory #markov-chains #random-walk #expected-value #mathematica
21
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94
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296
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289
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55
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#differential-geometry #mathematica
49
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#mathematica
168
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#ordinary-differential-equations #matlab #maple #mathematica
72
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#sequences-and-series #means #arithmetic-progressions #mathematica #geometric-progressions
435
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#sequences-and-series #arithmetic-progressions #mathematica #geometric-progressions
88
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Proving $ \sum^{\infty}_{k=1}\frac{\textrm{sin}(\frac{k\pi}{2})\textrm{cos}(k\delta)}{k}=1/4({\pi}+gd(i\delta)+gd(-i\delta))$

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#sequences-and-series #complex-analysis #convergence-divergence #special-functions #mathematica
51
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#real-analysis #mathematica

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