proof $ \lvert\int_a^bf(t)dt\rvert\le\frac{(b-a)^2M}{4} $
103416
Proving area under curve
154612
$\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$
105641
Prove that $ab\leq\frac{1}{2\varepsilon}a^2+\frac{\varepsilon}{2}b^2$
45205
Showing that $\int_0^\infty x^{-x} \mathrm{d}x \leq 2$.
144146
find a $\int_{x}^{g(x)} f(t)\,dt = 1$
37192
proof of the second generalized mean value theorem for integrals
64314
Proof of certain Gaussian integral form
59298
Proof that Legendre symbol $\Big(\frac{a}{p}\Big)$ is $a^{\frac{p-1}{2}}$
79908
Show $\int_0^\infty \frac{e^{-x}-e^{-xt}}{x}dx = \ln(t),$ for $t \gt 0$
105707
A proof of $\int_{0}^{1}\left( \frac{\ln t}{1-t}\right)^2\,\mathrm{d}t=\frac{\pi^2}{3}$
69656
Prove or disprove that $\int_a^b |f(x)|\ \mathrm{d}x\geq \big | \int_a^b f(x)\ \mathrm{d}x\big| $
108560
Proof of a Gaussian Integral property
113141
Prove that $\lim_{n \to \infty}\bigg[\int_0^1f(t)^n \text{dt}\bigg]^{1/n}=M$
1626
How do we prove $\int_I\int_x^1\frac{1}{t}f(t)\text{ dt}\text{ dx}=\int_If(x)\text{ dx}$
73489
How is the Integral of $\int_a^bf(x)~dx=\int_a^bf(a+b-x)~dx$
61859
Prove $\sum \frac{a}{a+b^4+c^4} \le 1$
144192
Showing $\int_{\mathbb R} \mid F(x)-G(x)\mid dx = \int_0^1 \mid F^{-1}(u)-G^{-1}(u)\mid du$ with $F$, $G$ CDF functions