Non-negative, continuous function with integral
30940
Prove the integral of $f$ is positive if $f ≥ 0$, $f$ continuous at $x_0$ and $f(x_0)>0$
25010
Argue that there exists a continuous function $g: \mathbb{R} \rightarrow \mathbb{R}$ which satisfies $g(x) = \frac{1-e^{-2x^2}}{x^2}$ for $x \neq 0$
57180
Techniques to prove a function is uniformly continuous
48246
Approximation of Riemann integrable function with a continuous function
88240
Two functions discontinuous, but sum continuous
44607
Prove that a continuous function on a closed interval attains a maximum
103241
A function that is continuous at the origin but not differentiable there
87115
Find a continuous function $f:[1,\infty)\to\Bbb R $ such that $f(x) >0 $, $\int_1^\infty f(x)\,dx $ converges and $\int_1^\infty f(x)^2\,dx$ diverges
65346
Characterisation of uniformly continuous function
55268
Differentiable and Continuous functions on [0,1] with 'weird' conditions.
68171
Non-trigonometric Continuous Periodic Functions
4679
Nonpiecewise Function Defined at a Point but Not Continuous There
22641
Nonlinear function continuous but not bounded
10747
Given function $g$ continuous in line $[0,\infty)$...
54797
Find the continuous function defined over $[0,1]$ such that $\int_0^1f(x){\rm d}x=1, \int_0^1 xf(x){\rm d}x=a$ and $\int_0^1x^2f(x){\rm d}x=a^2 .$
147516
Continuous function whose right hand derivative equals 0 is constant?
63309
How to find a measurable but not integrable function or a positive integrable function?