Can a continuous function have an indefinite integral that is discontinuous at a point?
36741
Anti-derivative of continuous function $\frac{1}{2+\sin x}$
87131
Discontinuous at rationals and differentiable at irrationals?
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
71487
Real Analysis: Continuity of a Composition Function
136011
Must $f$ be continuous?
124444
If $f$ s discontinuous at $x_0$ but $g$ is continuous there, then $f+g$?
17223
Continuity of an inverse function.
13506
Can an unbounded function have a finite integral?
41043
example of discontinuous function having direction derivative
95429
If $f$ is continuous with $ \int_0^{\infty}f(t)\,dt<\infty$ then which are correct?
44574
Continuity of absolute value of a function
150833
Discontinuities of the derivative of a differentiable function on closed interval
15820
Discontinuous linear functional
103495
Let $f$ be continuous. Then $\int_{0}^{x}\left[\int_{0}^{t}f\left(u\right)du\right]dt=\int_{0}^{x}f\left(u\right)\left(x-u\right)du$
18511
Can we construct a function that has uncountable many jump discontinuities?
158940
Give an example of a continuous function $f : [0, ∞) \mapsto [0, ∞)$ such that $\int_{0}^{\infty}f(x)dx$ exists but $f$ is unbounded.
115878
Continuous unbounded but integrable functions