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fluidistic
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Homework Statement
For a physics problem I must take the inverse Fourier transform of 2 functions.
Namely I must compute the integral ##\frac{1}{\sqrt{2\pi}}\int_{-\infty} ^\infty [A\cos (ckt)+B\sin (ckt)]e^{ikx}dk##.
Homework Equations
Already given.
i is the complex number. t is greater or equal to 0. In fact it could also be negative, there should be no problem.
The Attempt at a Solution
So I tried to tackle ##\int _{-\infty} ^\infty \cos (ckt)e^{ikx}dk## first but ran out of ideas.
Integration by parts does not look promising. Probably some substitution I guess but I don't see it. Any tip would be appreciated.