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Let a+b=4,w h e r ea<2,a n dl e tg(x) be...

Let `a+b=4,w h e r ea<2,a n dl e tg(x)` be a differentiable function. If `(dg)/(dx)>0` for all `x ,` prove that `int_0^ag(x)dx+int_0^bg(x)dx` increrases as `(b-a)` increrases`dot`

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