In equation \(x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)]\), if \(F^{-1} [2V(F)]=δ(t)+j/πt\) and \(F^{-1} [X(F)]\) = x(t). Then the value of ẋ(t) is?

\(\frac{1}{π} \int_{-\infty}^\infty \frac{2x(t)}{t-τ} dτ\)

\(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t+τ} dτ\)

\(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t-τ} dτ\)

\(\frac{1}{π} \int_{-\infty}^\infty \frac{2x(t)}{t-τ} dτ\)

\(\frac{1}{π} \int_{-\infty}^\infty \frac{4x(t)}{t-τ} dτ\)

In equation \(x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)]\), if \(F^{-1} [2V

1.	In equation \(x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)]\), if \(F^{-1} [2V(F)]=δ(t)+j/πt\) and \(F^{-1} [X(F)]\) = x(t). Then the value of ẋ(t) is?
A.	\(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t+τ} dτ\)
B.	\(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t-τ} dτ\)
C.	\(\frac{1}{π} \int_{-\infty}^\infty \frac{2x(t)}{t-τ} dτ\)
D.	\(\frac{1}{π} \int_{-\infty}^\infty \frac{4x(t)}{t-τ} dτ\)
Answer» C. \(\frac{1}{π} \int_{-\infty}^\infty \frac{2x(t)}{t-τ} dτ\)