Question 3

of your solution, state the definition of an even function and the and the theorems (if any ) used in your proof. 3. Let f be a continuous positive function. Prove f(x)dx is positive. As part of your solution, state the theorems (if any) used in your proof. Hint: let F be an antiderivative of f. 4. Consider the function f(x) = - for x E [1, 2]. Construct a partition on the interval [1, 2] with