prove that integral 0 to 1 x ki power n minus 1 upon log x dx is equal to

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Prove that Integral 0 to 1 x^n -1 dx/logx = log(n+1) | Integration of x^n -1 dx

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Interesting Integral-1: ∫(𝒙^𝒎 (𝐥𝐨𝐠⁡𝒙 )^𝒏) 𝒅𝒙=(−𝟏)^𝒏 𝒏!/((𝒎+𝟏)^((𝒏+𝟏))

0:11:34

@btechmathshub7050Beta And Gamma Functions -Problem

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@btechmathshub7050Gamma Function -Problem

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Leibnitz Rule - Evaluate ∫(x(^ α) -1)/log x dx given α greater than 0 PARTIAL DIFFERENTIATION

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Prove that: Integration of (log 1/y)^n-1 from 0 to 1 equals gamma n

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Prove that β(m,n)= integration x^n-1/ (1+x)^m+n from 0 to infinity

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Integration of x^n-1 [log (1/x)]^m-1 from limit 0 to 1 | Gamma Functions

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2nd PU Preparatory Math Paper 2025 | Full Solution | 19th Jan 2025 Bangalore South Paper

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@btechmathshub7050Gamma Functions -Problem

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Q37 | Integral 0 to 1 x (1 - x)^n dx | Integrate x (1 - x)^n dx from 0 to 1 | Integration 0 to 1 x

0:01:48

Evaluate `int_(0)^(1)((log1)/(x))^(n-1)dx`.

0:10:37

22. Beta and Gamma Function | Problem-2 | Most Important

0:04:20

If `I(m,n)=int_0^1x^(m-1)(1-x)^(n-1)dx`, then

0:17:32

If In = d^n/dx^n (x^nlogx ), prove that In = nIn-1 + (n-1)! successive differentiation | maths

0:03:10

In = d^n (x^n logx)/dx^n, then prove that In = nIn-1 + (n-1)! #differentiation #maths #calculus

0:13:02

@btechmathshub7050Gamma Function -Problem

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Definite Integration LAQ 7 | log(1+x)/1+x^2 #maths2b #definiteintegration #inter2ndyear

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Nth Derivative Of x^n 1 log(x)! Leibnitz Theorem ! B Sc, Engg. Math

0:02:52

The value of integral ∫_0^1〖x^5 (1-x^3 )^10 dx〗 is:(a) 1/396 (b) 1/128 (c) 396 (d) 128

0:03:23

`int_(0)^(1) x (1 -x)^(n) dx=?`

0:10:17

if Cos^-1(y/b)=log(x/n)^n prove that x^2y_n+2+(2n+1)xy_n+1+2n^2y_n=0|| Successive Differentiation

0:00:35

How REAL Men Integrate Functions