Let `f(x)` be a periodic function with period `int_0^x f(t+n) dt 3 and f(-2/3)=7 and g(x) =` .where `n=3k, k in N`. Then `g'(7/3) =`

Let f(x) be a periodic function with period 3 and f(-2/3)=7 and g(x) =int_0^x f(t+n) dt .where n=3k, k in N . Then g'(7/3) =

Let f(x) be a periodic function with period 3 and f(-2/3)=7 and g(x) = int_0^x f(t+n) dt .where n=3k, k in N . Then g'(7/3) =

Let f(x) be a periodic function with period 3 and f((-2)/( 3)) = 7 and g(x) = int _0^(2) f (t+ n ) dt where n=3 K , K in N " then " g^(-1) ((7)/(3)) =

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

Let f(x) be an odd continuous function which is periodic with period 2. if g(x)=int_(0)^(x) f(t)dt , then

Let f be an odd continous function which is periodic with priod 2 if g(x) = int_0^x f(t) dt then

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

Let a function f be even and integrable everywhere and periodic with period 2. Let g(x)=int_0^x f(t) dt and g(t)=k The value of g(2) in terms of k is equal to (A) k (B) 2k (C) 3k (D) 5k

Let a function f be even and integrable everywhere and periodic with period 2. Let g(x)=int_0^x f(t) dt and g(t)=k The value of g(2) in terms of k is equal to (A) k (B) 2k (C) 3k (D) 5k