[" Let "f(x)=int_(0)^(x)g(t)dt," where "g" is a non-zero even function.If "f(x+],[5)=g(x)," then "int_(0)^(x)f(t)dt," equals: "]

If f(-x)+f(x)=0 then int_(a)^(x)f(t)dt is

Let g(x)=int_(0)^(x)f(t)dt where fis the function whose graph is shown.

Let g(x) = int_(x)^(2x) f(t) dt where x gt 0 and f be continuous function and 2* f(2x)=f(x) , then

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

If f(x)=cos-int_(0)^(x)(x-t)f(t)dt, then f'(x)+f(x) equals

Let f:R rarr R be defined asble f(x)=int_(0)^(x)(sin^(2)t+1)dt and g is the inverse function of f, than g'((3 pi)/(4)) is equal to

Let G(x)=int e^(x)(int_(0)^(x)f(t)dt+f(x))dx where f(x) is continuous on R. If f(0)=1,G(0)=0 then G(0) equals

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

If f(x) is differentiable function and f(x)=x^(2)+int_(0)^(x) e^(-t) (x-t)dt ,then f)-t) equals to