Question

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

Answer 1

`-1/x+c`

Explanation:

For this antiderivative, you would use the power rule for antiderivatives/integrals. This states that `int x^n = 1/(n+1)(x^(n+1))`. Since `1/x^2=x^-2` and `n!=-1` in this case, you can apply this power rule.

Answer: `int1/x^2 = intx^-2 = x^-1/-1 + c = -1/x + c`