Derivative under a double integral

How does one find ${\partial y\over \partial t}$ and ${\partial^2 y\over \partial t^2}$ of a double integral $$y(x,t)=\int\limits_0^t \int\limits_{x-t+\xi}^{x+t-\xi} F(\eta)\,\,\,d\eta \,\,\,d\xi$$?

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