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  "body": "\n## Definition\n\nLet $I$ be an open interval and let $f \\colon I \\to \\mathbb{R}$ have an [[antiderivative|0BW9N5CDSB]] $F$ on $I$.\nThe indefinite integral of $f$ is the set of all antiderivatives of $f$ on $I$.\nIt is written\n$$\\int f(x) \\, dx = F(x) + C,$$\nwhere $C$ stands for an arbitrary real constant.\n\n## Remarks\n\nThe constant $C$ is the constant of integration.\nFor example, $\\int \\cos x \\, dx = \\sin x + C$.\nSome texts use the name for the function $x \\mapsto \\int_a^x f(t) \\, dt$, for a fixed $a$.\n\n## Explanations\n\n### L1 human\n\nThe indefinite integral collects all the antiderivatives of a function.\nThey differ only by a constant, so one antiderivative plus $C$ describes them all.\n",
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