Question
Question: If \(\int _ { - 1 } ^ { 1 } f ( x ) d x = 0\), then...
If ∫−11f(x)dx=0, then
A
f(x)=f(−x)
B
f(−x)=−f(x)
C
f(x)=2f(x)
D
None of these
Answer
f(−x)=−f(x)
Explanation
Solution
It is a fundamental property.
If ∫−11f(x)dx=0, then
f(x)=f(−x)
f(−x)=−f(x)
f(x)=2f(x)
None of these
f(−x)=−f(x)
It is a fundamental property.