Tuesday, February 1, 2011

the world of integrating by parts.

"If numbers aren't beautiful - I don't know what is" - Paul Erdos

So anyway, my first pattern my teacher wishes for me to notice, while exploring that sea of number lore in private, is how to do integrals of two functions. It's really the same pattern as the derivative of two things multiplied together, only now you're just doing the integral of the thing.

Really it's sorta intereting - I just need to plug away, another interesting thing is the relation between the sin and arc sin, which shows how the graph looks when you just replace the x and y's of each function.

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