Math 161
Extra Credit Problems
Spring/Fall 2000
- Give at least two examples of even functions such that for any value of , the integral
- Let
be a differentiable function. Show or give a counterexample to the following statements:
- If is odd, then is even.
- If is even, then is odd.
- If is even, then any antiderivative of is odd.
- If is odd, then any antiderivative of
is even.