How to prove that <msubsup> &#x222B;<!-- ∫ --> <mrow class="MJX-TeXAtom-ORD"> 0

codosse2e

codosse2e

Answered question

2022-05-21

How to prove that 0 1 x a ( 1 x ) b d x = 0 1 x b ( 1 x ) a d x

Answer & Explanation

Travis Fernandez

Travis Fernandez

Beginner2022-05-22Added 10 answers

In the presentation
0 1 x a ( 1 x ) b d x = = 0 1 u b ( 1 u ) a d u = 0 1 x b ( 1 x ) a d x ,
each expression has a definite value and contains no free variable; in other words, the scope of each variable does not extend beyond the (definite) integral in which it occurs; in yet other words, each variable is a dummy variable.

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