Let f(x) be an odd continous function which is periodic with period 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)=underset(0)overset(x)intf(t)dt , then

Let f(x) = int_(-2)^(x)|t + 1|dt , then

Let f(x) = int_(0)^(x)|2t-3|dt , then f is

Let f(x) be a continuous function which takes positive values for xge0 and satisfy int_(0)^(x)f(t)dt=x sqrt(f(x)) with f(1)=1/2 . Then

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(2) in terms of k is equal to (A) k (B) 2k (C) 3k (D) 5k

Let f(x)=int_(2)^(x)f(t^(2)-3t+4)dt . Then

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 For what value of g in terms of k is

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(t)=k for what values of g in terms of k

Let f(x) and phi(x) are two continuous function on R satisfying phi(x)=int_(a)^(x)f(t)dt, a!=0 and another continuous function g(x) satisfying g(x+alpha)+g(x)=0AA x epsilonR, alpha gt0 , and int_(b)^(2k)g(t)dt is independent of b If f(x) is an odd function, then