# Show integrable is uniformly continuous

H = [a,b]$$\times$$[c,d] . f$$\rightarrow$$R is continuous, and
g:[a,b]$$\rightarrow$$R is integrable.

Prove that
F(y) = $$\int$$g(x)f(x,y)dx from a to b is uniformly continuous.

I initially ripped g(x) and f(x,y) apart and tried to show each was continuous. This failed.

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