Class 12 Maths · Chapter 7 · CBSE / NCERT
Integrals
Integration, the reverse of differentiation. You’ll learn the standard integrals, substitution, partial fractions, integration by parts, and definite integrals with their shortcuts.
18 short lessons · about 81 minutes in all
What you’ll learn
- 1Integration undoes differentiation4 min
- 2The table of standard integrals4 min
- 3Splitting a sum, and pinning down C4 min
- 4Substitution: the chain rule run backwards5 min
- 5Integrals of tan, cot, sec and cosec4 min
- 6Using trig identities before integrating4 min
- 7Six standard forms with a squared5 min
- 8Completing the square to reach a standard form5 min
- 9Partial fractions: splitting into simple pieces5 min
- 10Partial fractions with repeated or quadratic factors5 min
- 11Integration by parts: the product rule backwards5 min
- 12The e to the x shortcut4 min
- 13Integrals of square roots of quadratics5 min
- 14The definite integral as an area4 min
- 15The first fundamental theorem4 min
- 16Evaluating a definite integral: top minus bottom4 min
- 17Definite integrals by substitution: change the limits too5 min
- 18Shortcuts for definite integrals5 min
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Integration undoes differentiation · about 4 minutes
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More Class 12 Maths
The other 12 chapters.
CH 1Relations and Functions14 lessonsCH 2Inverse Trigonometric Functions14 lessonsCH 3Matrices14 lessonsCH 4Determinants14 lessonsCH 5Continuity and Differentiability14 lessonsCH 6Application of Derivatives12 lessonsCH 8Application of Integrals10 lessonsCH 9Differential Equations14 lessonsCH 10Vector Algebra14 lessonsCH 11Three Dimensional Geometry14 lessonsCH 12Linear Programming12 lessonsCH 13Probability14 lessons
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