My Math Forum Solve integral

 Complex Analysis Complex Analysis Math Forum

June 6th, 2019, 07:09 AM   #1
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Solve integral

where L - is a segment connecting the points 0 and 1 + i
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 June 6th, 2019, 12:33 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,549 Thanks: 1399 1) parameterize L $L: (1+i)t,~t\in[0,1]$ 2) apply parameterization to integrand $z Im(z^2) = (1+i)t \cdot Im(((1+i)t)^2) = \\ (1+i)t\cdot Im(2t^2i) = 2 (1+i)t^3,~t\in [0,1]$ 3) integrate over the parameter $\int_0^1~2(1+i)t^3~dt$ I leave the integral to you. Thanks from topsquark and Lasqa
 June 7th, 2019, 02:09 AM #3 Newbie   Joined: Jun 2019 From: Moscow Posts: 14 Thanks: 0 Thank you

 Tags complex, complex analysis, integral, solve

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