Riemann integration
Not what you're looking for?
Which of the following conditions are necessary for a function f to be Riemann integrable on the closed interval [a,b], where a < b?
I. f is bounded on [a,b].
II. f is continuous on [a,b].
III. f is differentiable on [a,b].
Purchase this Solution
Solution Summary
This discusses the requirements for Riemann integrability.
Solution Preview
The answer is A. None of them are necessary.
I. f is bounded on [a,b].
This is not necessary. Here is an example. f(x)=1/sqrt(|x|) on the ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability