These new techniques rely on the relationship between differentiation and integration. In this section we look at some more powerful and useful techniques for evaluating definite integrals. Unfortunately, so far, the only tools we have available to calculate the value of a definite integral are geometric area formulas and limits of Riemann sums, and both approaches are extremely cumbersome. In the previous two sections, we looked at the definite integral and its relationship to the area under the curve of a function. 5.3.6 Explain the relationship between differentiation and integration.5.3.5 Use the Fundamental Theorem of Calculus, Part 2, to evaluate definite integrals.5.3.4 State the meaning of the Fundamental Theorem of Calculus, Part 2.5.3.3 Use the Fundamental Theorem of Calculus, Part 1, to evaluate derivatives of integrals.5.3.2 State the meaning of the Fundamental Theorem of Calculus, Part 1.5.3.1 Describe the meaning of the Mean Value Theorem for Integrals.Ordinal indicator – Character(s) following an ordinal number (used of the style 1st, 2nd, 3rd, 4th or as superscript, 1 st, 2 nd, 3 rd, 4 th).Glossary of mathematical symbols – Meanings of symbols used in mathematics.Hebrew punctuation – Punctuation conventions of the Hebrew language over time.Diacritic – Modifier mark added to a letter (accent marks etc.).Currency symbol – Symbol used to represent a monetary currency's name.Chinese punctuation – Punctuation conventions used in Chinese languages.Chemical symbol – Abbreviations used in chemistry.Astronomical symbols – Symbols in astronomy.Section symbol, section mark, double-s, 'silcrow' ('Scarab' is an informal name for the generic Currency sign) The generic Currency sign is superficially similar 'Pillow' is an informal nick-name for the ' Square lozenge' in the travel industry. Paragraph mark, paragraph sign, paraph, alinea, or blind P Also known as "octothorpe" and "hash"ĭivision sign, Dagger, Commercial minus, Index Quotation mark#Typewriters and early computers Minus sign, Division sign, Per cent, Obelusĭotted circle (Used as a generic placeholder when describing diacritics) ('Backtick' is an alias for the grave accent symbol)Ĭaret, Circumflex, Guillemet, Hacek, Glossary of mathematical symbolsĬaret (The freestanding circumflex symbol is known as a caret in computing and mathematics)Ĭircumflex (diacritic), Caret (computing), Hat operator Typographical symbols and punctuation marksĪpproximation, Glossary of mathematical symbols, Double tildeīracket, Parenthesis, Greater-than sign, Less-than sign, Guillemet
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