Suvadip
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If $$f(x,y)$$ be a continuous function of $$(x,y)$$ in the rectangle $$R:{a \leq x \leq b, c \leq y \leq d}$$ , then $$\int_a^b f(x,y) dx$$ is also a continuous function of $$y$$ in $$[c,d]$$
How to proceed with the proof of the above theorem?
How to proceed with the proof of the above theorem?