Timeline for The indefinite integral $\int{\frac{\mathrm dx}{\sqrt{1+x^2}}}$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 4, 2013 at 20:48 | comment | added | Ted Shifrin | You need to do enough integrals that experience helps. Note that $\sqrt{1+\tan^2\theta}=\sec\theta$, and this should be on a list of trigonometric integrals that you know or find in your text. In the end, a certain amount of memorization is probably helpful. | |
| Jul 4, 2013 at 20:40 | comment | added | Ramy Al Zuhouri | @TedShifrin I tried this way, but I'm stuck at another integral, again with radix and I don't know how to solve it (see the edit please). The problem is that I don't know a standard criteria for solving them, I neither can rely on my intuition, is there a standard way to solve them? | |
| Jul 4, 2013 at 20:08 | comment | added | Ted Shifrin | @julien: I am frequently of the opinion that many responders are here to show off and do not think about actual teaching. We can't give a beginning student learning calculus a solution using perverse sheaves, even if it's impressive to a pro. Very frustrating. I feel sorry for franklin.vp's students when he launches into a teaching career. | |
| Jul 4, 2013 at 19:55 | comment | added | Ted Shifrin | @TheChaz2.0: Say what? The rational parametrization of the circle turns a rational function of $\sin$ and $\cos$ into a rational function of $t$. Why muddy the story with that? This is a poor beginning calculus student!!! | |
| Jul 4, 2013 at 19:48 | comment | added | The Chaz 2.0 | Weierstrass substitution (wikipedia) | |
| Jul 4, 2013 at 19:38 | history | answered | Ted Shifrin | CC BY-SA 3.0 |