Question

como integrar:
1/x^4*dx ?

Answer 1

$\int\frac{1}{x^4}dx=\\\\\int x^{-4}dx=\\\\\left[\frac{1}{-3}\cdot x^{-4+1}\right]=\\\\\left[\frac{x^{-3}}{-3}\right]=\\\\\frac{-1}{3}\cdot x^{-3}=\\\\\boxed{-\frac{1}{3x^3}+c}$