int(x^(m-1))/(sqrt(1-x^(m)))dx

int(e^(m sin^(-1)x))/(sqrt(1-x^(2)))dx

Evaluate: int(e^(m sin^(-1)x))/(sqrt(1-x^(2)))dx

Evaluate: (i) int5^(x)+tan(-1)x((x^(2)+2)/(x^(2)+1))dx (ii) int(e^(m)sin(-1)x)/(sqrt(1-x^(2)))dx

Evaluate: int (e^(m sin^(-1)x))/(sqrt(1-x^2))dx

IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n (a) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx (b) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx (c) I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx (d) I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx

IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n (a) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx (b) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx (c) I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx (d) I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx

IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx

If I(m,n)=int_(0)^(1)x^(m-1)(1-x)^(n-1)dx,(m,n in I,m,n>=0),th epsilonI(m,n)=int_(0)^(oo)(x^(m-1))/((1+x)^(m-n))dxI(m,n)=int_(0)^(oo)(x^(m-1))/((1+x)^(m+n))dxI(m,n)=int_(0)^(oo)(x^(n-1))/((1+x)^(m+n))dxI(m,n)=int_(0)^(oo)(x^(n))/((1+x)^(m+n))dx