June 20, 2011

Integrating across a quarter circle

Description:

Redrawn (less competently!) based on a diagram from A Garden of Integrals by Frank E. Burk; used in proving the Leibniz series for $\frac{\pi}{4}$.

Path to image: /images/midgleyc/2011/06/20/leibniz_pi4_ineqgeo.png

Splitting a rectangle into two integrals

Description:

A function is graphed, horizontal lines emanate from it to show the possible integrable regions.

Path to image: /images/midgleyc/2011/06/20/xzinteg.png

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