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  "body": "\n## Statement\n\nLet $f, g \\colon [a, b] \\to \\mathbb{R}$ be Riemann integrable with $f(x) \\le g(x)$ for all $x \\in [a, b]$.\nThen\n$$\\int_a^b f(x) \\, dx \\le \\int_a^b g(x) \\, dx.$$\n\n## Remarks\n\nEach [[Riemann sum|0HBY48G8G1]] of $f$ is at most the Riemann sum of $g$ for the same tagged partition.\nIn particular, if $m \\le f \\le M$ on $[a, b]$, then $m (b - a) \\le \\int_a^b f \\le M (b - a)$.\nMathlib states it as `intervalIntegral.integral_mono_on`.\n\n## Explanations\n\n### L1 human\n\nA larger function has a larger integral.\nIf one graph lies below another, the area under it is smaller.\n",
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