Help in Apostol Vol 1 integration review exercise – math.stackexchange.com

Help in Apostol Vol 1 integration review exercise – math.stackexchange.com

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5.11.9 Show that $$\displaystyle \int_0^x{\frac{\sin(t)}{t+1}\ dt} \geq 0$$ $\forall x\geq 0 $ My attempt - By 2nd mean value theorem, $\displaystyle \int_0^x{\frac{\sin(t)}{t+1}\ dt} = ...

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