"Proof" that $0=1$ using an integral.
47206
$-1 = 0$ by integration by parts of $\tan(x)$
30940
Prove the integral of $f$ is positive if $f ≥ 0$, $f$ continuous at $x_0$ and $f(x_0)>0$
111756
How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?
154459
Constructing a HoTT proof term of 1≠0
43184
Using the Residue Theorem to Prove that $\int^{2\pi}_{0} \frac{1}{(a+\cos\theta)^{2}} d \theta=\frac{2\pi a}{(a^{2}-1)^{3/{2}}}.$
103598
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
30694
Show that there exist $[a,b]\subset [0,1]$, such that $\int_{a}^{b}f(x)dx$ = $\int_{a}^{b}g(x)dx$ = $\frac{1}{2}$
31660
Integral $\int_{0}^{1}\left\{\frac{1}{x}\right\}\left\{\frac{1}{1-x}\right\}\left\{1-\frac{1}{x}\right\} d x=?$
104691
Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
94869
Show that $ \int_{k}^{2} \frac{1}{f(y)} =1$
128189
Proving Integral Inequality
106868
Prove that $x+\frac1{4x} ≥ 1$ for $x>0$
31783
Is this proof of $ab = 0$ correct?
129042
Prove that $\lim_{a \to 0^{+}} \int_{0}^{a} \frac{1}{\sqrt{\cos(x)-\cos(a)}} \;dx=\frac{\pi}{\sqrt{2}}$
33989
If $\int_0^1 f(x)x^n \ dx=0$ for every $n$, then $f=0$.
121771
Proof $f(x)\equiv 0$
48651
Prove that $\int_0^1t^{p-1}(1-t)^{q-1}\,dt=\frac{\Gamma(p)\Gamma(q)}{\Gamma(p+q)}$ for positive $p$ and $q$