if $f > g$ for all $x$ on $[a,b]$, is the $\int f > \int g$ on $[a,b]$?
134551
Comparison between integrals
145507
Is $K[a,b]=K(a,b)$ for algebraic $a, b$?
28007
Assuming: $\forall x \in [0,1]:f(x) > x$ Prove: $\forall x \in [0,1]:f(x) > x + \varepsilon $
48537
If $\forall x \in R, x^2-x \in Z(G)$, than $R$ is commutative
46355
If $[G:H]=n$, is it true that $x^n\in H$ for all $x\in G$?
26207
If $f$ is a quadratic and $f(x)>0\;\forall x$, and $g= f + f' + f''$, prove $g(x)>0\; \forall x$
158327
#define f(g,g2) g##g2
63590
Let $g$ be a function from $(0, 1)$ to $\mathbb{R}$ and $\int_0^1 g^2(x)dx$ finite. Does this imply that $\int_0^1 g(x)dx$ is finite?
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
82935
Prove that f∈Θ(g)if and only ifO(f) =O(g).
18126
If $f \colon [a,b] \rightarrow \mathbb{R}$, then show that there exists $c \in [a,b]$ such that $\int_a^c f = \int_c^b f$
145424
If $f''(x)+f(x)>0$ and $f(x)>0$ $\forall x\in(a,b)$; $f(a)=f(b)=0$; prove that $b-a>\pi$.
18261
Prove $\int_{a}^{b}{f(x)dx}>0$.
104394
What does $\int_{a}^{b} f(x)$ mean?
100839
If two continuous functions are equal almost everywhere on $[a,b]$, then they are equal everywhere on $[a,b]$
89514
Show that if $g \circ f$ is injective, then so is $f$.
56492
Does the order of $f(x)$ divide the order of $x$ if $f$ is a group homomorphism?