How to prove or disprove ? if f is integrable on [a,b] then int_a^b|f(x)|dx<=|int_a^bf(x)dx|
2 Answers
Oct 30, 2017
Consider
Explanation:
In fact any non-constant odd function
Oct 31, 2017
Use Riemann definition for integrals:
We need to find how
Convert both to limit and summation form using the Riemann definition for the integrals above:
There is an identity stating that
The statement in the question is false.