Question: If f: [a, b] x [c, d] R is continuous and D2f is continuous, define F (x, y) = xa (t,y) dt a. Find D1F

If f: [a, b] x [c, d] → R is continuous and D2f is continuous, define F (x, y) = ∫xa (t,y) dt
a. Find D1F and D2F.
(b) If G (x) = ∫ g(x) f (t, x) dt, find G1 (x).

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