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# MAT135H1 Study Guide - Antiderivative

Department
Mathematics
Course Code
MAT135H1
Professor
all

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Antiderivative*
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Knowledge*Summary:*
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The\$antiderivative\$is\$the\$operation\$that\$goes\$backward\$from\$the\$derivative\$of\$a\$function\$to\$the\$
information\$to\$go\$back\$to\$an\$explicit\$function\$as\$antiderivative.\$\$The\$more\$common\$name\$for\$the\$
antiderivative\$is\$the\$indefinite\$integral.\$This\$is\$the\$identical\$notion,\$merely\$a\$different\$name\$for\$it.\$
\$
The\$definition\$is:\$
If\$F\$is\$an\$antiderivative\$of\$f\$on\$an\$interval\$I,\$then\$the\$most\$general\$antiderivative\$of\$f\$on\$I\$is\$F(x)\$+\$C,\$
where\$C\$is\$an\$arbitrary\$constant.\$
\$
Table\$of\$integration\$formulas\$that\$are\$useful:
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