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

Help with the task please
where L - is a segment connecting the points 0 and 1 + i
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June 6th, 2019, 12:33 PM   #2
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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.
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June 7th, 2019, 02:09 AM   #3
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Thank you
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