How does one carry out

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- October 14th 2009, 03:44 AMnthethemshow the way
How does one carry out

- October 14th 2009, 03:52 AMtom@ballooncalculus
- Wolfram|Alpha

Click on 'show steps'

Edit:

Just in case a picture helps...

http://www.ballooncalculus.org/asy/t...ernal/aTan.png

... where

http://www.ballooncalculus.org/asy/chain.png

... is the chain rule. Straight continuous lines differentiate downwards (integrate up) with respect to x, and the straight dashed line similarly but with respect to the dashed balloon expression (the inner function of the composite which subject to the chain rule).

Carry on the anti-clockwise journey (to I) by finding G(theta) and mapping back from tan(theta) to x.

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Don't integrate - balloontegrate!

http://www.ballooncalculus.org/examples/gallery.html

http://www.ballooncalculus.org/asy/doc.html - October 14th 2009, 04:47 AMHallsofIvy