When does a function NOT have an antiderivative?
3978
How can you prove that a function has no closed form integral?
103485
Antiderivative of periodic function
92953
Someone needs to set the record straight on what exactly antiderivatives vary by: constants functions or piecewise constant functions.
128524
Proving there is no analytic function
71638
Integrating a step function using antiderivatives
145136
When can we interchange the derivative with an expectation?
62581
What is an example that a function is differentiable but derivative is not Riemann integrable
103241
A function that is continuous at the origin but not differentiable there
20658
Difficulty in finding a counterexample
61486
Show that $f$ is not differentiable at $(0,0)$ - $\frac{x_1^2x_2}{x_1^2+x_2^2}$
54137
Find a non-negative function on [0,1] such that $t\cdot m(\{x:f(x) \geq t\}) \to 0$ that is not Lebesgue Integrable
18493
Why is an empty function considered a function?
36741
Anti-derivative of continuous function $\frac{1}{2+\sin x}$
27775
Proving a function is not a contraction
153510
Questions about the existence of a function
110395
Integrable function $f$ on $\mathbb R$ does not imply that limit $f(x)$ is zero
35671
Why can a discontinuous function not be differentiable?