Home
Class 12
MATHS
f is an odd function, It is also known t...

`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^xf(t)dt ,` then `g(x)i sod d` (b) `g(n)=0,n in N` `g(2n)=0,n in N` (d) `g(x)` is non-periodic

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 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) be a periodic function with period int_(0)^(x)f(t+n)dt3 and f(-(2)/(3))=7 and g(x)= where n=3k,k in N. Then g'((7)/(3))=

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 g(x)=int_0^x cos4t\ dt ,\ t h e n\ g(x+pi) equals a. g(x)-g(pi) b. \ g(x)dotg(pi) c. (g(x))/(g(pi)) d. g(x)+g(pi)

Let phi(x,t)={(x(t-1),xlet),(t(x-1), tltx):} , where t is a continuous function of x in [0,1] . Let g(x)=int_0^1 f(t)phi(x,t)dt , then g\'\'(x) = (A) g(0)=1 (B) g(0)=0 (C) g(1)=1 (D) g\'\'(x)=f(x)