If `intxf(x)dx=(f(x))/2`, then `f(x)` is equal to :

A

`e^(x)`

B

`e^(-x)`

C

`logx`

D

`e^(x^(2))/2`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If f: R rarr R , f(f(x)) = (f(x))^(2) , then f(f(f(x) ))is equal to

If f(x) = x^(6) + 6^(x) , then f'(x) is equal to

If f(x)=x+1 and g(x)=2x , then f{g(x)} is equal to

If f(x)=sqrt(2x)+(4)/sqrt(2x) then f'(2) is equal to

If intg(x)dx=g(x) , then intg(x){f(x)+f'(x)}dx is equal to

If f(pi)=2 and int_(0)^(pi)(f(x)+f''(x))sinx dx=5 then f(0) is equal to, (it is given that f(x) is continuous in [0,pi] )

If f(X)= |(x,x^(2),x^(3)),(1,2x,3x^(2)),(0,2,6x)| then f '(x) is equal to