complex integral, please check

**fqqs** · May 27th 2012, 03:02 AM

I have to calculate this integral $\int_{ \beta }^{}$ $|z|dz$

when $\beta = [-i,i]$

so

$\gamma (t)= -i + ti$ , $t \in [0,2]$

$\int_{0}^{2} |-i+ti|idt = i \int_{0}^{2} \sqrt{(t-1)^2} dt = i \int_{0}^{2} |t-1| dt = i (\int_{1}^{2} (t-1) dt - \int_{0}^{1} (t-1) dt ) = ...$

correct?

**Prove It** · May 27th 2012, 03:39 AM

Which contour are you integrating over?

**fqqs** · May 27th 2012, 04:17 AM

not contour, straight line from -i to i

**fqqs** · May 27th 2012, 11:24 PM

uppp

**fqqs** · June 1st 2012, 10:25 AM

upppp

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