Why is the integral of 1/x^2 between the limits 1 and -1 equal to -2, despite the graph of y=1/x^2 being strictly positive? - Quora
![Calc 2: integration] can someone explain the math behind why this tan integral has a sqrt for the 2 but not the 4? : r/HomeworkHelp Calc 2: integration] can someone explain the math behind why this tan integral has a sqrt for the 2 but not the 4? : r/HomeworkHelp](https://i.redd.it/calc-2-integration-can-someone-explain-the-math-behind-why-v0-dok7fqkxkkbb1.png?width=1080&format=png&auto=webp&s=8443d3290c43c121650dd1778975d2972463be77)
Calc 2: integration] can someone explain the math behind why this tan integral has a sqrt for the 2 but not the 4? : r/HomeworkHelp
![complex analysis - Calculation of the $\int_{-\infty}^{\infty} \frac{dx}{1+x ^2}$ using contour integration - Mathematics Stack Exchange complex analysis - Calculation of the $\int_{-\infty}^{\infty} \frac{dx}{1+x ^2}$ using contour integration - Mathematics Stack Exchange](https://i.stack.imgur.com/3McmR.jpg)