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Trigonometric rule collapser set by UniBrain Trigonometric rule collapser set by UniBrain
A soft warping of an amply modicum variation of Newton's calculus (of mine), specifically, of trigonometry; a trigonometric rule set that collapses equations of form ∫[xⁿ · √ tⁿ ± tⁿ] abound less abstrusely applicable forms.

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As such, said lemma of mine, rationalizes the default cycle, such that the outcome process is COLLAPSED.

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HEREAFTER, persists a quite quaint-delineation sequence:

1) dx/dθ subsumes not, the (symbol x =√aⁿ · trig(θ))

2) ∫[xⁿ · dx/θ · dx] is but not of STRICT composition. (..for xⁿ metamorphoses abound √tⁿ ± tⁿ)

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HEREIN, exists the quotidian ordinance:

∫[xⁿ·√(xⁿ+aⁿ)], ∫[xⁿ·√(xⁿ-aⁿ)], ∫[xⁿ·√(aⁿ-xⁿ)] ... manifest as STANDARD trigonometric integral FORMS/FRAMES; whence the structure of said frames, SELF-INDICATE interchange-boundaries.

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SEE the default problem/problem solution, via:
www.intmath.com/methods-integr…

SEE separately quintessentially existent integral-bound succedaneum, of non-irregular descent.

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AUTHOR:

folioverse.appspot.com/

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PAPER [2012]:

www.academia.edu/13808654/Trig…

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INTERLOCUTION:
www.facebook.com/ProgrammingGo…
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March 24, 2013
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