Calculus 2
Math
This is on what you should memorize for calculus 2.
Sample Data
| Front | \[\sqrt{x^2 - a^2}\] |
| Back | Substitution: \(x = a \sec \theta\) Differential: \(dx = a \sec \theta \tan \theta \, d\theta\) Identity: \(\sec^2 \theta - 1 = \tan^2 \theta\) |
| Front | What is the restricted domain of a \(\tan\) function to have an inverse? |
| Back | \[\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\] Note that the end points are NOT included because the denominator of \(\tan\) function (which is \(\cos\)) will be 0. And that's a no no.Negative Values on: \(\left(-\frac{\pi}{2},0\right)\)Positive Values on: \(\left[0, \frac{\pi}{2}\right)\) |
| Extra |
 |
| Front | What is the domain of \(\cot(x)\)? |
| Back | The domain of \(\cot(x)\) is all real numbers except multiples of \(\pi\). |