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