Prove that $e^x|\int_x^{x+1}\sin(e^t)dt|\le 2$
97253
How prove $e^x|f(x)|\le 2$ if $f(x)=\int_{x}^{x+1}\sin{(e^t)}dt$
1626
How do we prove $\int_I\int_x^1\frac{1}{t}f(t)\text{ dt}\text{ dx}=\int_If(x)\text{ dx}$
7384
How do I prove that $m(TE)=\left|\det(T)\right|m(E)$?
30385
Proving that $\frac{e^x + e^{-x}}2 \le e^{x^2/2}$
67622
Proving of Integral $\int_{0}^{\infty}\frac{e^{-bx}-e^{-ax}}{x}dx = \ln\left(\frac{a}{b}\right)$
139742
Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$
124208
Proof $|\sin(x) - x| \le \frac{1}{3.2}|x|^3$
146180
Prove that $x\sqrt{1-x^2} \leq \sin x \leq x$
105707
A proof of $\int_{0}^{1}\left( \frac{\ln t}{1-t}\right)^2\,\mathrm{d}t=\frac{\pi^2}{3}$
101499
Prove $e^{x+y}=e^{x}e^{y}$ by using Exponential Series
96388
Prove $\sin(x)\tan(x) > x^2$ for $x \in ( \,0, \frac{\pi}{2}) \,$
60761
Proof: $\cos^p (\theta) \le \cos(p\theta)$
125209
Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$
28771
Prove that $\int_{0}^{1}\sin{(\pi x)}x^x(1-x)^{1-x}\,dx =\frac{\pi e}{24} $
98344
Prove that $\int_0^1[f''(x)]^2dx\ge4.$
98282
Prove that the function $\xi\in R \mapsto {e^{i\cdot \xi\cdot λ}-1\over i\cdot \xi}-λ$ is $C^{\infty}$
154612
$\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$