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Is it possible to find, say, integral of $\cos x$ without resorting to derivative or anti-differentiation concept?

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Are familiar with the concept of Riemann-Darboux integral? –  Sasha Sep 13 '12 at 16:46
    
Do you mean definite or indefinite integral? –  lhf Sep 13 '12 at 16:48
    
You can prove that $\sin x '=\cos x$ geometrically: ocw.mit.edu/courses/mathematics/… –  Robert Mastragostino Sep 13 '12 at 16:49
    
I mean Indefinite –  Ranjan Yajurvedi Sep 13 '12 at 16:53
    
Perhaps this will add some additional insights: quora.com/Scientific-Computing/… –  Amzoti Sep 13 '12 at 16:55

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