Approximate Integration: Midpoint Rule Error Bound: Proof

In this video I go over another very detailed and extensive proof video and this time for the error bound formula for the Midpoint Rule for approximating integration. The proof of this video is similar to my earlier video on the proof for the trapezoidal rule error bound since both proofs require the use of selecting integration constants when integrating by parts twice to make the integral appear as a Midpoint approximation plus an error that contains the second derivative. The only difference is that the integral is broken up into 2 parts and solved accordingly. This is a very long and detailed proof video but it is worth the understanding and knowledge of mathematical proof videos in general if you can follow along for the whole video!

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Related Videos:

Integration by Parts: Integration Constants: http://youtu.be/jJ-RJTNMy4s Approximate Integration: Trapezoidal Rule Error Bound: Proof: http://youtu.be/_mrSHIin7Mw Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk Integrals and AntiDerivatives - Area Example: http://youtu.be/Q2PTVZBzMWQ Integration by Parts: Proof: http://youtu.be/TZhEOct5u_M .

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