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Chapter 7 Class 12 Integrals

Master Chapter 7 Class 12 Integrals with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Get NCERT Solutions of Class 12 Integration, Chapter 7 of the NCERT book. Solutions of all questions, examples and supplementary questions explained here. Download formulas and practice questions as well.

Topics include

Integration as anti-derivative - Basic definition of integration. Using derivative rules, finding integration
Integration using Trigonometry Formulas - where we use trigonometry formulas like cos 2x, sin² x, sin 3x, Inverse formulas and make the function easier to integrate
Integration by substitution - Where we substitute functions as some other functions and integrate using the formulas we know - xⁿ, lnx, e^xto find the integration
Integration by parts - We do integration by using by parts formula
By parts integration of e^x - We use integration formula of e^x (f(x) + f'(x)) to solve questions
Integration by partial fractions - We use partial fractions to solve the integration. Like in this question.
Integration by special formulas - We use special formulas mentioned in our Integral Table to solve questions
Integration as limit as a sum - We use basic definition of integration , Integration = Area to form limit as a sum formula and then solve its questions
Definite Integration - Solving definite integration using methods of indefinite integration, and using properties of definite integration

To check all formulas of Integrals used in this chapter, check Integration Formulas

Important Questions are marked as Important, you can also check all Important Questions for Class 12 Maths. As well as Sample papers.

Serial order wise

Ex 7.1 Start Learning

Ex 7.2 Start Learning

Ex 7.3 Start Learning

Ex 7.4 Start Learning

Ex 7.5 Start Learning

Ex 7.6 Start Learning

Ex 7.7 Start Learning

Ex 7.8 Start Learning

Ex 7.9 Start Learning

Ex 7.10 Start Learning

Examples Start Learning

Miscellaneous Start Learning

Case Based Questions (MCQ) Start Learning

NCERT Exemplar MCQ Start Learning

Area as a sum Start Learning

Concept wise

Using Formulaes Start Learning

Using Trignometric Formulaes Start Learning

Integration by substitution - x^n Start Learning

Integration by substitution - lnx Start Learning

Integration by substitution - e^x Start Learning

Integration by substitution - Trignometric - Normal Start Learning

Integration by substitution - Trignometric - Inverse Start Learning

Integration using trigo identities - sin^2,cos^2 etc formulae Start Learning

Integration using trigo identities - a-b formulae Start Learning

Integration using trigo identities - 2x formulae Start Learning

Integration using trigo identities - 3x formulae Start Learning

Integration using trigo identities - CD and CD inv formulae Start Learning

Integration using trigo identities - Inv Trigo formulae Start Learning

Integration by parts Start Learning

Integration by parts - e^x integration Start Learning

Integration by specific formulaes - Formula 1 Start Learning

Integration by specific formulaes - Formula 2 Start Learning

Integration by specific formulaes - Formula 3 Start Learning

Integration by specific formulaes - Formula 4 Start Learning

Integration by specific formulaes - Formula 5 Start Learning

Integration by specific formulaes - Formula 6 Start Learning

Integration by specific formulaes - Formula 7 Start Learning

Integration by specific formulaes - Formula 8 Start Learning

Integration by specific formulaes - Method 9 Start Learning

Integration by specific formulaes - Method 10 Start Learning

Integration by partial fraction - Type 1 Start Learning

Integration by partial fraction - Type 2 Start Learning

Integration by partial fraction - Type 3 Start Learning

Integration by partial fraction - Type 4 Start Learning

Integration by partial fraction - Type 5 Start Learning

Definite Integral as a limit of a sum Start Learning

Definite Integration - By Formulae Start Learning

Definite Integration - By Partial Fraction Start Learning

Definite Integration - By e formula Start Learning

Definite Integration - By Substitution Start Learning

Definite Integration by properties - P2 Start Learning

Definite Integration by properties - P3 Start Learning

Definite Integration by properties - P4 Start Learning

Definite Integration by properties - P6 Start Learning

Definite Integration by properties - P7 Start Learning

Why Learn This With Teachoo?

Get NCERT Solutions of Class 12 Integration, Chapter 7 of the NCERT book. Solutions of all questions, examples and supplementary questions explained here. Download formulas and practice questions as well.

Topics include

Integration as anti-derivative - Basic definition of integration. Using derivative rules, finding integration
Integration using Trigonometry Formulas - where we use trigonometry formulas like cos 2x, sin² x, sin 3x, Inverse formulas and make the function easier to integrate
Integration by substitution - Where we substitute functions as some other functions and integrate using the formulas we know - xⁿ, lnx, e^xto find the integration
Integration by parts - We do integration by using by parts formula
By parts integration of e^x - We use integration formula of e^x (f(x) + f'(x)) to solve questions
Integration by partial fractions - We use partial fractions to solve the integration. Like in this question.
Integration by special formulas - We use special formulas mentioned in our Integral Table to solve questions
Integration as limit as a sum - We use basic definition of integration , Integration = Area to form limit as a sum formula and then solve its questions
Definite Integration - Solving definite integration using methods of indefinite integration, and using properties of definite integration

To check all formulas of Integrals used in this chapter, check Integration Formulas

Important Questions are marked as Important, you can also check all Important Questions for Class 12 Maths. As well as Sample papers.