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Grade 12Integral Calculus

What is meant by Eular Substitution in Integration?What are the different rules and where should they be applied? Please refer some reference book for its concept & questions related to it.

Profile image of srishtik sikdar
16 Years agoGrade 12
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Profile image of  Askiitians Expert   Soumyajit IIT-Kharagpur
16 Years ago

Dear Srishtik,

Ans:- A necessary condition for  I=∫F(x,y,y')dx  ( within the limits X1 to X2) to be an extreemum is that, δF/δy - Ð(δf/δy')/Ðx =0 is known as Euler's equation. This is used mainly in the application of the calculus of variation.

 

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