`int_0^picosm x*cosn x dx(m!=n)=.........`

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

int_m^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=

If int_(0)^(pi//2) (cot x)/(cot x+cosecx)dx=m(pi+n) , then m*n is equal to :

If int_(0)^(pi//2)(cotx)/(cotx+"cosec "x)dx=m(pi+n) , them m * n is equal to

If int_(0)^(pi//2)(cotx)/(cotx+"cosec "x)dx=m(pi+n) , them m * n is equal to

Suppose M = int_0^(pi/2) cosx/(x+2) dx , N = int_0^(pi/4) sinxcosx/(x+1)^2 dx . Then the value of (M - N) equals

If int_0^(a) f(x) dx = int_0^(a) f(a-x) dx , then the value of int_0^(pi) x. f(sin x) dx =