Someone can help me to resolve this analysis 2 question?
D stands for domain which corresponds to a triangle with the following vertices:
(0,0) (0,1) (1,0)
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- This integral took me to solve more than an hour without success :(
- In two of your videos you prove i^i = e^(-Pi/2) and the ith root of i, I^(1/i) = e^(Pi/2). When I multiply i^i by i^(1/i) I get i. But when I multiple the representations e^(-Pi/2) and e^(Pi/2) I get e. So, does i = e? Where have I gone wrong?
is the following hypotesis correct?
D=((x,y)€R^2 : x>=0, y>=0, y<=-x+1)
u=y-x
v=y+x
=> y=(u+v)/2 and x=(v-u)/2
new domain D=>E=((u,v)€R^2 : v-u>=0, u+v>=0, v<=+1)
but i feel stuck..
tips?