What is the antiderivative of 1 / (x²)?

Solution:

To find the antiderivative, we will use the power rule for antiderivatives/integrals.

It states that ∫ xⁿ = 1 / (n +1) × (xⁿ+1)

On applying the power rule ∫ xⁿ = 1 / (n +1) × (xⁿ + 1), we get 

⇒ ∫ 1 / x²

⇒ ∫ x⁻²

⇒ x⁻¹ / -1 + c

⇒ −1 / x + c

Thus, the antiderivative of 1 / (x²) is -1 / (x) + c.

What is the antiderivative of 1 / (x²)?

Summary:

The antiderivative of 1 / (x²) is -1 / (x) + c.