If f(t) is a continuous function defined on [a,b] such that f(t) is an odd function, then the function `phi(x)=int_(a)^(x) f(t)dt`

If f(t) is an odd function,then varphi(x)=int_(a)^(x)f(t)dt is an even function.

If f(t) is an odd function, then int_(0)^(x)f(t) dt is -

If f(t) is an odd function, then prove that varphi(x)=int_a^xf(t)dt is an even function.

If f(t) is an odd function, then prove that varphi(x)=int_a^xf(t)dt is an even function.

For the function f(x)=int_(0)^(x)(sin t)/(t)dt where x>0

If f(x) is an odd pefiodc function defined on the interval [T/2,T/2], where T is rthe perod of f(x). Then phi(x)=int_(a)^(x) f(t)dt, is

Let f be a continuous function on [a,b]. Prove that there exists a number x in[a,b] such that int_(a)^(x)f(t)dx=int_(x)^(b)f(t)dt