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## Homework Statement

Prove that [tex]\int_{0}^{x}\frac{\sin(t)}{t+1}dt > 0[/tex]

## Homework Equations

It asks me to do this without actually calculating it and I can't use the Fundamental Theorem of Calculus.

## The Attempt at a Solution

Okay, I see why this should be true as the function oscillates (with smaller bumps over time) around the x-axis so only the first bump really counts. I've tried considering small intervals where I know the function has certain values, but I can't seem to get anywhere with that idea either. Any help?

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