![real analysis - How can I prove the Wolfram Alpha result $\int_0^{\infty} \frac{(\sin x)^2}{x^2-\pi ^2} dx=-\frac1{2\pi}$? - Mathematics Stack Exchange real analysis - How can I prove the Wolfram Alpha result $\int_0^{\infty} \frac{(\sin x)^2}{x^2-\pi ^2} dx=-\frac1{2\pi}$? - Mathematics Stack Exchange](https://i.stack.imgur.com/MKj7Z.png)
real analysis - How can I prove the Wolfram Alpha result $\int_0^{\infty} \frac{(\sin x)^2}{x^2-\pi ^2} dx=-\frac1{2\pi}$? - Mathematics Stack Exchange
![MAKING FORMULAS… FOR EVERYTHING—FROM PI TO THE PINK PANTHER TO SIR ISAAC NEWTON | Isaac newton, Pink panthers, Formula MAKING FORMULAS… FOR EVERYTHING—FROM PI TO THE PINK PANTHER TO SIR ISAAC NEWTON | Isaac newton, Pink panthers, Formula](https://i.pinimg.com/736x/86/c1/e4/86c1e41dbda3fe7110b01eb1f5faac0c.jpg)
MAKING FORMULAS… FOR EVERYTHING—FROM PI TO THE PINK PANTHER TO SIR ISAAC NEWTON | Isaac newton, Pink panthers, Formula
![Wolfram alpha gives two different answers for $\int^{\infty}_{-\infty} x \frac{1}{\pi} e^{-(\ln(x) - 0.3)^2} | \frac{1}{x}|dx$ - Mathematics Stack Exchange Wolfram alpha gives two different answers for $\int^{\infty}_{-\infty} x \frac{1}{\pi} e^{-(\ln(x) - 0.3)^2} | \frac{1}{x}|dx$ - Mathematics Stack Exchange](https://i.stack.imgur.com/eNSmh.png)
Wolfram alpha gives two different answers for $\int^{\infty}_{-\infty} x \frac{1}{\pi} e^{-(\ln(x) - 0.3)^2} | \frac{1}{x}|dx$ - Mathematics Stack Exchange
![Wolfram|Alpha: http://www.wolframalpha.com; search query: 'what is pi?' | Download Scientific Diagram Wolfram|Alpha: http://www.wolframalpha.com; search query: 'what is pi?' | Download Scientific Diagram](https://www.researchgate.net/profile/Astrid-Mager/publication/259703755/figure/fig4/AS:670000247492632@1536751915719/WolframAlpha-http-wwwwolframalphacom-search-query-what-is-pi_Q320.jpg)
Wolfram|Alpha: http://www.wolframalpha.com; search query: 'what is pi?' | Download Scientific Diagram
![Anyone here able to explain this? I was messing around on wolfram alpha and I have no idea where pi came from. : r/calculus Anyone here able to explain this? I was messing around on wolfram alpha and I have no idea where pi came from. : r/calculus](https://preview.redd.it/anyone-here-able-to-explain-this-i-was-messing-around-on-v0-1mqirlchb7kc1.png?auto=webp&s=b0d0bb8299e8efa7e7b15515551ad7a2956868e3)
Anyone here able to explain this? I was messing around on wolfram alpha and I have no idea where pi came from. : r/calculus
![It's strange. Wolfram Alpha knows the exact answer, 2 – π/2 – ln(2), but not the process to obtain it. : r/mathmemes It's strange. Wolfram Alpha knows the exact answer, 2 – π/2 – ln(2), but not the process to obtain it. : r/mathmemes](https://preview.redd.it/ulwwwpx4rws91.jpg?width=1080&crop=smart&auto=webp&s=a0da005d93237832033f6863ff07caa0cf5e64da)