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| + | For VII.4.1 I get the bottom side of the rectangle tends to pi and the sides tend to 0. But when I try and evaluate the top side by letting <math>z(t) = 2at - a + \sqrt(b)i</math>, my integrand becomes a mess: <math>2a((4a^2 t^2-4a^2 t+a^2-b+a)+i(4a\sqrt(b)t-2a\squrt(b)))^-1</math>. I don't see how that simplifies to what the integrand in the problem gives. Just keep messing around with the algebra until something happens? Or did I do something wrong--[[User:Aata|Aata]] | ||
Revision as of 14:06, 29 October 2009
Homework 7
For VII.4.1 I get the bottom side of the rectangle tends to pi and the sides tend to 0. But when I try and evaluate the top side by letting $ z(t) = 2at - a + \sqrt(b)i $, my integrand becomes a mess: $ 2a((4a^2 t^2-4a^2 t+a^2-b+a)+i(4a\sqrt(b)t-2a\squrt(b)))^-1 $. I don't see how that simplifies to what the integrand in the problem gives. Just keep messing around with the algebra until something happens? Or did I do something wrong--Aata
