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INTEGRATION COMPLETE CHAPTER

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RELATIONS AND FUNCTION COMPLETE CHAPTER

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PROBABILITY

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Integration is one of the important chapter in calculus.

Integration is also known as anti differentiation

Integral is also known as anti derivative

Integration is mainly divided into two parts

Indefinite integration

Definite integration

To understand integration you must be good in differentiation, without differentiation chapter understanding integration is a very difficult task.

To understand integration you must be good in trigonometry chapter, because we use trigonometry formulas very frequently in integration chapter.

Integration is easy only when you are good in trigonometry formulas, differentiation formulas, integration formulas

TYPES OF INTEGRATION

Basic integration

Integration by substitution(or) u-substitution

Integration by using trigonometric identities

Integration by using standard results like 1/a^2-x^2, 1/(ax^2 +bx+c)……

Integration by parts, integration bipartisan

Integration using partial fractions.

Integrals of inverse trigonometric functions

Reduction formulas

Definite integration

Definite integrals as a limit of sum

Geometrical interpretation

Fundamental theorem of calculus

Properties of definite integrals

Definite integrals of periodic functions

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