Are Anti-Derivatives Unique?
Read this topicExplanations 2
- In other words, here's the question: Can a function have more than one anti-derivative? So, a function can have more than one anti-derivative. Here are some examples of anti-der…
By Matt Superdock, Ahaan Rungta, Moor Xu, Caroline K
- Look at the answers to the problems on this worksheet. Then take the antiderivatives of the answers. Did you get the same antiderivative as the problem? If not, what's the diffe…
By Freya Edholm
Problems 3
- Two differentiable real functions f,gf,gf,g satisfy f′(x)/g′(x)=ef(x)−g(x)f'(x)/g'(x) = e^{f(x) - g(x)}f′(x)/g′(x)=ef(x)−g(x) for all reals xxx, and f(0)=g(2003)=1f(0) = g(2003)…
- Which of the following are anti-derivatives of x5x^5x5?
- Suppose we have a function f(x)f(x)f(x) that is differentiable, such that f′(x)f'(x)f′(x) is continuous. Evaluate whether the following two statements are true or false. (1) f(x…