The value of `int2^("mx").3^("nx")dx` (when m, `n in N`) is equal to:

Evaluate: int a^(mx)b^(nx)dx

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 the value of int_a^b(x-a)^m(b-x)^n dx is equal to

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

int_(0)^(pi//2n)(dx)/(1+(tan nx)^(n)) is equal to n in N :

int_(0)^(pi//2n)(dx)/(1+(tan nx)^(n)) is equal to n in N :

Let C_(n)= int_(1//n+1)^(1//n)(tan^(-1)(nx))/(sin^(-1) (nx)) dx , "then " lim_(n rarr infty) n^(n). C_(n) is equal to

Let C_(n)= int_(1//n+1)^(1//n)(tan^(-1)(nx))/(sin^(-1) (nx)) dx , "then " lim_(n rarr infty) n^(n). C_(n) is equal to

The value of the integral int_(-pi)^(pi) sin mx sin nx dx , for m != n (m,n in 1) is :