Which of the following is not the definition of Beta function?

Question

TuteeHUB · Accepted Answer

(  beta(m, n) = 2  int_0^{ /2}(sin u2061 )^{2m-1} (cos u2061 )^{2n-1} d    )

TuteeHUB · Answer

(  beta(m, n) = 2  int_0^1 x^{m-1} (1-x)^{n-1} dx (m>0, n>0)   )

TuteeHUB · Answer

(  beta(m, n) = 2  int_0^{ /2}(sin u2061 )^{2m-1} (cos u2061 )^{2n-1} d    )

TuteeHUB · Answer

(  beta(m, n) =   int_0^    frac{y^{n+1}}{(1+y)^{m+n}} dy   )

TuteeHUB · Answer

(  beta(m, n) =   int_0^1   frac{x^{m-1}+x^{n-1}}{(1+x)^{m+n}} dx   )

1.	Which of the following is not the definition of Beta function?
A.	( beta(m, n) = 2 int_0^1 x^{m-1} (1-x)^{n-1} dx (m>0, n>0) )
B.	( beta(m, n) = 2 int_0^{ /2}(sin u2061 )^{2m-1} (cos u2061 )^{2n-1} d )
C.	( beta(m, n) = int_0^ frac{y^{n+1}}{(1+y)^{m+n}} dy )
D.	( beta(m, n) = int_0^1 frac{x^{m-1}+x^{n-1}}{(1+x)^{m+n}} dx )
Answer» B. ( beta(m, n) = 2 int_0^{ /2}(sin u2061 )^{2m-1} (cos u2061 )^{2n-1} d )

Discussion