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misurrosne

misurrosne

Answered question

2022-06-13

How to solve 4 4 x 2 16 x 2 d x with beta function

Answer & Explanation

Braylon Perez

Braylon Perez

Beginner2022-06-14Added 34 answers

Let x = 4 u to transform the integral to
16 2 1 1 u 2 1 u 2 d u = 2 16 2 0 1 u 2 1 u 2 d u
Then v = u 2 , d u = 1 2 v d v,
= 16 2 0 1 v 1 1 / 2 ( 1 v ) 1 / 2 d v = 16 2 B ( 3 / 2 , 3 / 2 ) = 32 π

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