Definite Integration

28
Feb
Pattern – 14 : Definite integration

⋆ Pattern – 14 :

If f is a periodic function with principal period T, then \int_{mT}^{nT}f\left(x\right)\ dx  =  (n – m)

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28
Feb
Pattern – 13 : Definite integration

⋆ Pattern – 13

If f is a periodic function with principal period T, then \int_{0}^{nT}f\left(x\right)\ dx = n

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Tags: ganit, proof, definition, formula, any, Definite, integration, math, pattern, of, sabiti, maths, mathematics,
27
Feb
Pattern – 9 : Definite integration

⋆ Pattern – 9

\int_{0}^{a}f\left(x\right)dx =

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Tags: definition, formula, any, Definite, integration, math, pattern, of, sabiti, maths, mathematics, ganit, proof,
27
Feb
Pattern – 8 : Definite integration

Pattern – 8 :

\int_{0}^{b-c}f\left(x+c\right)dx=\ \int_{c}^{b}f\left(x\right)dx

Proof :

Let…

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Posted in: Pattern – 8 : Definite integration,
Tags: integration, math, pattern, of, sabiti, maths, mathematics, ganit, proof, definition, formula, any, Definite,