what is the  'ILATE' RULE

Hi!
Here is the answer to your query.
 x being an algebraic function comes first in the list than cos x which is a trigonometric function.
 
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  • 138

ILATE rule is used for the simplicity of performing Integration  BY PARTS

In this we take two functions, giving one of them the higher priority. to avoid the confusion so as to which should be taken  we use this rule.

Where..

I  --> Inverse

L --> lograthemic

A --> Algebraic

T  --> Triginometric

E --> Exponential

 

for ex : ∫ x Sinx dx

here we take x as the first fn and Sinx as second and then proceed.

  • 72

 ILATE rule is used for the simplicity of performing Integration  BY PARTS

In this we take two functions, giving one of them the higher priority. to avoid the confusion so as to which should be taken  we use this rule.

Where..

I  --> Inverse

L --> lograthemic

A --> Algebraic

T  --> Triginometric

E --> Exponential

 

for ex : ∫ x Sinx dx

here we take x as the first fn and Sinx as second and then proceed.

  • 11
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