Answer with Step-by-step explanation:
We are given that if f is integrable on [a,b].
c is an element which lie in the interval [a,b]
We have to prove that when we change the value of f at c then the value of f does not change on interval [a,b].
We know that limit property of an integral
....(Equation I)
Using above property of integral then we get
......(Equation II)
Substitute equation I and equation II are equal
Then we get
Therefore, .
Hence, the value of function does not change after changing the value of function at c.