Compute $$\int_{-1}^{1} \sin (\sin (x))\left(\sin ^{2}(x)+1\right) d x$$
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An odd function is a function that satisfies $f(-x) = -f(x)$ for all $x$ in its domain. Since we are integrating over a symmetric interval $[-1, 1]$, the integral of an odd function over this interval will be zero. This is because the positive and negative areas Show more…
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