engr.waqas
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No C is a constant from integration which in this case is given as 0.
i(t)= sin(1000 * 2 PI t ) also i(t)=0 for t<=0
To be integrable over an infinite intervall, the integrated function must converge, but sin(t) doesn't. Either there is a typo in the problem or it's insolvable.
P.S.: The said problem formulation makes no sense, r or it's mathematically incorrect:
My answer is
-cos (2000 * PI * t ) / (2 * PI ) + C
which is again wrong but I'm sure it is very close to true answer
I agree with _eduardo_ , I have the same answer for that in tegral which is the most true one if " i(t)=0 if t<0"