| Input |
|---|
| 1/(x^10)^12 |
| Result |
| 1/x^120 |
| Roots |
| (no roots exist) |
| Derivative |
| d/dx(1/(x^10)^12) = -120/x^121 |
| Indefinite integral |
| integral 1/x^120 dx = -1/(119 x^119) + constant |
| Limit |
| lim_(x-> ± infinity) 1/x^120 = 0 |
| Integral representation |
| (1 + z)^a = ( integral_(-i infinity + gamma)^(i infinity + gamma) (Gamma(s) Gamma(-a – s))/z^s ds)/((2 pi i) Gamma(-a)) for (0 |