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Hi, I was given this: F(z) = 1/(z^2)(z^2+1) and was asked to use its residues to compute f(t). [z is a complex number]

The answer I got is -sin(t). But the answer on the book says t-sin(t).

I double checked and the residue of z=0 is 0, I don't get where the t is from.

Please, can anyone help? Thanks