Problem with Improper Integration - Is Zero the Correct Answer?

[killerfish]

Hi again,

I have a problem regarding improper integration.

Homework Statement

Refer to the image. I tried to solve and got zero for the answer. Is that correct? I refer to my actual problem it seem like it don't won't this way...

Thanks

 

[benorin]

suppose that g(t)=1, what is the value of the integral?

 

[killerfish]

suppose that g(t)=1, what is the value of the integral?

If 1 is integrated, we get t and then sub in the boundary value the answer still 0?

here the actual g(t) suppose to be g(t) = cos(2\pif₀t) - jsin(2\pif₀t).

 

[HallsofIvy]

If 1 is integrated, we get t and then sub in the boundary value the answer still 0?

Are you saying that you are not capable of integrating
\int_{-T/2}^{T/2} dt
or you just haven't bothered to?

here the actual g(t) suppose to be g(t) = cos(2\pif₀t) - jsin(2\pif₀t).