Question

What is the antiderivative of `1/ x^2`?

Answer 1

It's as easy as taking the negative exponent and integrate with the exponent rule.

The antiderivative is the same as the integral, and I guess you want to compute `int1/x^2dx`. Since `1/x^2=x^(-2)`, let's calculate the integral using the exponent algorythm:

`intx^(-2)dx=x^(-1)/(-1)+C=-1/x+C`