Integrate e^x with me (1 Viewer)

[independantz]

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hey if you read up, i got the same thing as you, and i treated i as a constant because it came from square root of -1 ??

That's not his solution, his saying that your solution is equivalent to mine, as we both assumed i to be a constant.

 

[Js^-1]

So is it correct to say that



?

 

[lolokay]

^it's correct, but i don't think you can assume it

 

[Templar]

So i could not integrate:
S [limits: 2i to i] x dx
= 0.5(2i)^2-0.5(i)^2
= -2+0.5
= -1.5

You need to define a path from i to 2i and do a contour integral.

The problem is that all your (high school) functions are real functions, and you are doing real analysis with them. There is no logical reason why you can simply extend them to complex functions and complex variables.

Take this example: just because you can use induction on the (positive) integers, can you use it on the rationals or the reals?

 

[shaon0]

You need to define a path from i to 2i and do a contour integral.

The problem is that all your (high school) functions are real functions, and you are doing real analysis with them. There is no logical reason why you can simply extend them to complex functions and complex variables.

Take this example: just because you can use induction on the (positive) integers, can you use it on the rationals or the reals?

Ah cool. Even though i haven't done induction i get your point.

 

[ronnknee]

Why would you even do this