If f(x) is periodic function with period, T, then

If f(x) is a periodic function with period T, then

Statement-1: int_(0)^(npi+v)|sin x|dx=2n+1-cos v where n in N and 0 le v lt pi . Stetement-2: If f(x) is a periodic function with period T, then (i) int_(0)^(nT) f(x)dx=n int_(0)^(T) f(x)dx , where n in N and (ii) int_(nT)^(nT+a) f(x)dx=int_(0)^(a) f(x) dx , where n in N

Statement-1: int_(0)^(npi+v)|sin x|dx=2n+1-cos v where n in N and 0 le v lt pi . Stetement-2: If f(x) is a periodic function with period T, then (i) int_(0)^(nT) f(x)dx=n int_(0)^(T) f(x)dx , where n in N and (ii) int_(nT)^(nt+a) f(x)dx=int_(0)^(a) f(x) dx , where n in N

If y=f(x) is a periodic function with period K, then g(x)=f(ax+b) is a Periodic function,The period of g(x) is

If f(x) is a periodic function of the period k then f(ax+b) is a periodic function of the period_____.

Statement -1: If f(x + a)f(x-a) = - 1 for some positive constant 'a' and for all value of x in R, then f (x) is periodic function with period equal to 4a.Statement - 2 : If f(x+T) = f(x), AA x in R and for some positive constant T, then f(x) is periodic function with period equal to T.

If f(x) is a periodic function with period lambda and f(ax+b) is perodic with period T/a then period of f(lambda x + u) where mu is any constant is

If f(x) is an odd periodic function with period 2 then f(4)=