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How to integrate by parts if the both the functions are of same type. eg. uv dx where u is algebric and v is also algebric

How to integrate by parts if the


both the functions are of same type.


eg. \intuv dx


where u is algebric


and  v is also algebric

Grade:11

2 Answers

AKASH GOYAL AskiitiansExpert-IITD
419 Points
10 years ago

Dear Anand

If both the functions are algebric then you can take any function as first or second. but you should choose complicated one as first as differentiation is easy. if you have difficulty in some specific example then post it.

 

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

 

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Sudheesh Singanamalla
114 Points
10 years ago

Integration by substitution can be done in this case

eg .  \intf (g(x)) . g'(x) dx

==>   \int f(t) . d(t)                      [ we substitute g(x) as t and (g'(x).dx) as dt ]

solve the integral equations and finally put the value of t.

 

Please approve if the answer is satisfactory

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