Beta And Gamma Functions One Shot | Integral Calculus | Bsc 1st Semester | Bsc Maths | SiwalClasses

https://play.google.com/store/apps/de... This Video Contains - 00:00 Intro 00:15 Beta Function 01:17 Properties Of Beta Function 03:20 Example 1 : Express the following integrals in terms of Beta function : ∫_0^1▒〖x^m (1-x^2 )^n dx,m-1 ,n-1〗 06:19 ∫_0^1▒x^2/√(1-x^5 ) dx 08:54 ∫_0^1▒〖x^(m-1) 〖(1-x^2)〗^(n-1) 〗 dx 11:03 Another Form Of Beta Function 14:50 Example 5: Prove that ∫_0^∞▒(x^(m-1)-x^(n-1))/(1+x)^(m+n) dx=0,m0,n0 15:32 Beta Function 16:19 Elementry Properties of Gamma Function 22:55 Some Transformation of Gamma Function 30:07 Relation between Beta And Gamma Function 39:06 The Value of Γ(1/2)=√π 42:34 ∫_0^(π/2)▒〖〖cos〗^m θ〖sin〗^n 〗 θdθ=Γ((m+1)/2)Γ((n+1)/2)/2Γ((m+n+2)/2) , 47:57 Duplication Formula 57:50 Example 2 : Prove that ∫_0^a▒〖(a-x)^(m-1) x^(n-1) dx=a^(m+n-1) B(m,n)=〗 (a^(m+n-1) ΓmΓn)/(Γ(m+n)) 1:01:17 Example 3 : Show that if m ,n are positive , then ∫_a^b▒(x-a)^(m-1) (b-x)^(n-1) dx=(b-a)^(m+n-1 ) B(m,n)=(b-a)^(m+n-1 ) ΓmΓn/(Γ(m+n)) 1:04:26 Example 4 : Show that ∫_0^1▒〖(x^(m-1) (1-x)^(n-1))/(a+bx)^(m+n) dx〗=1/((a+b)^m a^n ) B(m,n) 1:10:31 Example 6 : Evaluate the following integrals ∫_0^∞▒〖(x^8 (1-x^6 ))/(1+x)^24 dx〗 1:12:49 ∫_0^∞▒〖(x^4 (1+x^5 ))/(1+x)^15 dx〗 1:16:14 ∫_0^∞▒xdx/(1+x^6 ) 1:20:29 Example 7 : Evaluate ∫_0^1▒〖(x^(m-1)+x^(n-1))/〖(1+x)〗^(m+n) dx〗 1:25:36 Example 8 : Prove that ∫_0^∞▒〖x^(2n-1) e^(-ax^2 ) dx〗=(Γ(n))/(2a^n ) 1:28:46 ∫_0^∞▒〖x^m e^(-ax^n ) dx〗=Γ[(m+1)/n]/(na^(((m+1))/n) ) 1:32:06 ∫_0^1▒〖dx/√(-logx)=√π〗 1:34:28 Example 9 : Find the value of Γ(1/9)Γ(2/9)Γ(3/9)……Γ(8/9) 1:35:45Example 10 : Show that ∫_0^∞▒cos⁡〖(bz^(1/n) )dz=1/b^n Γ(n+1)cos〗 nπ/2 Gamma Function - Properties & Its Application | Integral Calculus Bsc 1st sem Integral calculus L-1 Beta and Gamma functions beta and gamma functions, beta and gamma functions engineering mathematics, beta and gamma functions and their properties engineering mathematics, beta and gamma functions by pradeep giri, beta and gamma functions engineering mathematics 1st year, beta and gamma functions in integral calculus, beta and gamma functions bsc 1st year, beta and gamma functions important questions, beta and gamma functions and their properties, beta and gamma functions by dr gajendra purohit, beta and gamma functions problems, beta and gamma functions and its properties, beta and gamma functions and their applications, beta and gamma functions alex maths, beta and gamma functions applied mathematics, beta and gamma function by akhilesh sir, beta and gamma functions in real analysis, beta and gamma function pradeep giri academy, applications of beta and gamma functions, relation between alpha beta and gamma functions, tikle academy maths beta and gamma functions, what are beta and gamma functions, multiple integrals and beta and gamma functions, gamma and beta functions questions and answers, beta and gamma functions bsc 2nd year, beta and gamma functions by tikle academy, beta and gamma functions bsc 6th sem, beta and gamma functions bsc, beta and gamma functions by gajendra purohit, beta and gamma functions bsc 3rd year, beta and gamma functions by dr gajendra purohit playlist, bsc 2nd year maths beta and gamma functions, b tech 1st year maths beta and gamma functions, relation between beta and gamma functions, relation between beta and gamma functions engineering mathematics, relation between beta and gamma functions in telugu, relation between beta and gamma functions in tamil, relation between beta and gamma functions problems, relation between beta and gamma functions in hindi, relation between beta and gamma functions rama reddy, convergence of beta and gamma functions, integral calculus beta and gamma functions, integral calculus engineering mathematics beta and gamma functions, beta and gamma functions perfect computer engineer, gamma and beta functions calculus, beta and gamma function definition, beta gamma function derivation, define beta and gamma functions, define beta and gamma function in hindi, beta and gamma functions saurabh dahivadkar, define beta and gamma function bsc, derive the relation between beta and gamma functions, saurabh dahivadkar beta and gamma functions, beta and gamma functions engineering mathematics one shot, beta and gamma functions engineering mathematics in telugu, beta and gamma functions engineering mathematics pradeep giri, beta and gamma functions engineering mathematics vtu, beta and gamma functions engineering mathematics bhagwan singh, beta and gamma functions engineering mathematics 2, beta and gamma functions exercise 2.1, beta and gamma functions mks, beta and gamma functions mathematical physics, beta and gamma functions mathcom me beta gamma functions solved problems, beta and gamma functions b.sc 1st year, beta and gamma function gp sir, beta and gamma function vijay sir, relation between beta and gamma functions in easy way, beta and gamma function btech 1st year, beta and gamma function bsc 1st year by gajendra purohit,