How To Solve Integration Problems Using Beta Function 9

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In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. A key property of the beta function is its close relationship to the gamma function. This course is Ema382 for UNIBEN Engineering Students.
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They set this exact question in Futo last exam

XanderGist
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Please can you explain why we used a surd form that is the root 2 why it came up

tobierhuvwu
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One of the videos before this, you left r(3/2) like that because you said we weren't given the value of that gamma function.

uyioduware