it is really shame on me that I cannot find the derivative of the following integral :(


$$X(t)=e^{-bt}X(0)+\sigma\int_{0}^{b}e^{-b(t-s)}dW(t)$$


Find $dX(t)$ ?  where  $0 < b, \sigma\in\mathbb{R} $,  $X(0)$ is initial distribution of $X(t)$, independent of the Brownian motion $W(t)$. I want so show that $dX(t)= -bX(t)dt+\sigma dW(t)$, but I am getting stuck on computing the derivative of $$\sigma\int_{0}^{b}e^{-b(t-s)}dW(t)$$

could some one please give me some ideas ? thanks so much for your time