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## Homework Statement

Sketch the C

^{1}paths a: [0; 1] -> C, t -> t + it

^{2}and b: [0; 1 + i]. Then compute the following integrals.

∫Re(z)dz over a

∫Re(z)dz over b

## Homework Equations

## The Attempt at a Solution

Sketching a seems ok, y axis is Imaginary, x axis is Real, and the path is a quadratic between 0 and 1.

However I'm not sure about b...

As for the integrals, is it just a case of integrating Re(a(t))a'(t)dt between 0 and 1, then integrating Re(a(t))a'(t)dt between 0 and 1+i?