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JEE • Mathematics

Indefinite Integration

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formula

Indefinite Integration and Constant

The source defines indefinite integration as the reverse process of differentiation and names cc as the constant of integration.

g′(x)=f(x)g'(x)=f(x)
∫f(x) dx=g(x)+c⟺ddx{g(x)+c}=f(x)\int f(x)\,dx=g(x)+c\Longleftrightarrow \frac{d}{dx}\{g(x)+c\}=f(x)

Variables & Notation

ff

function

gg

function or lower limit

cc

constant of integration

Notes

  • cc is called the constant of integration.