Question

What is the antiderivative of `1/x^3`?

Answer 1

Antiderivative of `1/x^3` is `-1/(2x^2)+C`

Explanation:

Antiderivative of `1/x^3` means `int(1/x^3)dx`

As `itx^ndx=x^(n+1)/(n+1)`

We may also add a constant term `C` as derivative of constant is `0`.

`int(1/x^3)dx=intx^(-3)dx=x^(-2)/-2+C=-1/(2x^2)+C`