If `m,n in N,` then the value of `int_a^b(x-a)^m(b-x)^n dx` is equal to

If m, n in N , then l_(m n) = int_(0)^(1) x^(m) (1-x)^(n) dx is equal to

For m=n and m, n in N then the value of int_(0)^(pi) cos m x cos n x dx =

The value of (a+i b)^(m / n)+(a-i b)^(m / n) is equal to

Evaluate: inta^(m x)b^(n x)dx

Evaluate: inta^(m x)b^(n x)dx

Evaluate: inta^(m x)b^(n x)dx

Evaluate: inta^(m x)b^(n x)dx

For m, n in N and m != n then the value of int_(0)^(pi) sin m x " " sin n x " " dx=

I_(m,n) = int_0^1 x^m (l_n x)^n dx equals:

where c is the constant of integration and m,n in N ,the find the valuc of (m+n). If int(dx)/(1+sqrt(x+1)+sqrt(x))=ax+b sqrt(x)+c int sqrt((x+1)/(x))dx where a,b,care constant,then find the value of (a+b+c)