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How to integrate x^x

How to integrate x^x

Grade:12

2 Answers

Godfrey Classic Prince
633 Points
9 years ago

Dear Raghav Somani,

You cannot integrate xx .This is because the Antiderivative of x^x is not reducible to any elementary functions -- which is not at all unusual. This is true of MOST functions. Calculus books usually list antiderivatives of a hundred or so rather simple functions, and toward the end of the list the antiderivatives get really bizarre. It does not take much effort to come up with a function which can not be precisely integrated. x^x is one.

 

Hope this helped you immensely...

All the Very Best & Good Luck to you ,,

 

Best Regards,

AskIITians Expert,

Godfrey Classic Prince

IIT-M

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karishma mahajan
14 Points
8 years ago

by taking log,,

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