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  "body": "\n## Statement\n\nFor all real numbers $a$ and $b$,\n$$\\int_a^b \\sin x \\, dx = \\cos a - \\cos b.$$\n\n## Remarks\n\nThe [[derivative of cosine|0V2DV29EGT]] is $-\\sin$, so $-\\cos$ is an antiderivative of $\\sin$.\nFor example, $\\int_0^\\pi \\sin x \\, dx = 2$.\nMathlib states it as `integral_sin`.\n\n## Explanations\n\n### L1 human\n\nThe area under one arch of the sine curve is exactly $2$.\nThis follows from the antiderivative $-\\cos x$.\n",
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