If `int_(-1)^(1)f(x)dx=0` then

A

(a) `f(-x)=f(x)`

B

(b) `f(-x)=-f(x)`

C

(c) `f(x)=2f(x)`

D

(d) `f(-x)=2f(x)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

int_(0)^(a)f(x)dx=

If int_(-1) ^(4) f(x) dx=4and int_(2)^(4) (3-f(x))dx=7, then int_(-1) ^(2) f(x) dx=

int_(0)^(1)(1-x)^(9)dx=

int_(0)^(1)|3x-1|dx=

For every integer n, int_(n)^(n+1)f(x)dx=n^(2) , then the value of int_(0)^(5)f(x)dx=

If : int_(0)^(2a)f(x)dx=2.int_(0)^(a)f(x)dx , then :

Suppose f is such that f(-x)=-f(x) for every real x and int_0^1 f(x) dx =5 , then int_-1^0 f(t)dt=

If f(x)=int_(-1)^(x)|t|dt , then for any x ge0,f(x) is equal to