Given f an odd function periodic with period 2 continuous `AA x in R and g(x)=int_0^x f(t)dt` then (i) g(x) is an odd function (ii) `g(x+2)=1` (iii) `g(2)=0` (iv) g(x) is an even function

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

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

f is an odd function,It is also known that f(x) is continuous for all values of x and is periodic with period 2. If g(x)=int_(0)^(x)f(t)dt, then g(x) is odd (b) g(n)=0,n in Ng(2n)=0,n in N( d) g(x) is non-periodic

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

Given an even function f defined and integrable everywhere and periodic with period 2. Let g(x)=int_(0)^(x)f(t)dt and g(1)=A

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and g(x)=f'(x) is an even function , then f(x) is an odd function.

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(x+2)-g(x) is equal to (A) g(1) (B) 0 (C) g(2) (D) g(3)

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(x+2)-g(x) is equal to (A) g(1) (B) 0 (C) g(2) (D) g(3)