(1) Find the indicated roots: (a) The eighth roots of 1 and (b) The cube roots fo 1+ i
(2) By considering the real and imaginary parts of the integral in part (1), evaluate the integral e^(1+i)x dx.
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1. Find the indicated roots. Sketch the roots in the complex plane.
We can write ' one' as follows since cos 2pi = 1 and sin 2pi = 0
1 = cos (2pi) + i sin (2pi)
In polar form this is written as follows:
1 = e i (2pi)
Take the eighth power in both ...
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