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Calculate $\int_0^1\frac{x^9-1}{\log x}{\rm d}x$ using Beta and Gamma function

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#integration #definite-integrals #gamma-function #beta-function
43
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Computing time period $T=l \sqrt{\frac{2m} {E}}(\frac{E} {V_0} )^t \int_{0 }^{1} ds(1-s^{\frac{1 } {t}})^{-\frac{1 } {2 }} $

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#integration #complex-analysis #limits #multivariable-calculus #beta-function
656
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how to show $B(n,m)=\frac{(n-1)!(m-1)!}{(n+m-1)!}$?

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#real-analysis #calculus #integration #beta-function
240
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Integral equation related to the Beta distribution

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#probability #probability-distributions #integral-equations #beta-function
124
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Finding the peak of this unimodal sequence

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#probability #sequences-and-series #binomial-distribution #order-statistics #beta-function
238
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Solving an integral using beta function

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#integration #gamma-function #substitution #beta-function
511
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Beta distribution converges in distribution to a binomial

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#probability-theory #probability-distributions #convergence-divergence #pointwise-convergence #beta-function
84
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Show $\int^{\pi/2}_0 \cos^{\mu}(x)\sin^{v}(x)dx= \frac{1}{2}B(\frac{1+\mu}{2},\frac{1+v}{2})$

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#real-analysis #integration #trigonometry #beta-function
79
Views

Solve for probability with a transformed Beta distribution

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#probability #beta-function
570
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Sum of Beta functions.

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#sequences-and-series #beta-function
471
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Evaluating the ratio of beta functions

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#definite-integrals #beta-function
99
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Beta function problems

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#integration #beta-function
45
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Are there any works on $\int^{z_1}_{z_2}t^{a-1}(1-t)^{b-1}\;f(t) \;dt$?

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#integration #beta-function
60
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Beta function integration

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#integration #beta-function
43
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Ratios of some definte integrals without using $\beta$-function

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#definite-integrals #beta-function

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