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disclaimer about mathematical rigor (do we need this sort of thing?)
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:<math>\int_a^b x^2\ \mathrm{d}x = \frac{b^3}{3} - \frac{a^3}{3}\,</math>,
 
:<math>\int_a^b x^2\ \mathrm{d}x = \frac{b^3}{3} - \frac{a^3}{3}\,</math>,
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The above is a simplified "intuitive" treatment of calculus and of this theorem.  The actual "rigorous" proof, "rigorous" definitions of derivative and integral, and statement of the conditions under which the theorem is true, are beyond the scope of this article.
    
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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