Calculus • Step-by-Step

Integral of 1/x² dx with Steps

Step-by-step antiderivative of 1/x² dx. Rewrite using negative exponents as x^(-2) and apply the power rule of integration to find -1/x + C.

Problem Statement

\int \frac{1}{x^2} \, dx

Final Result

F(x) = -\frac{1}{x} + C

Formula Required: Power Rule for Negative Exponents

Rewrite as x^(-2). Add 1 to power: -2 + 1 = -1.

\int x^{-2} \, dx = \frac{x^{-1}}{-1} + C = -\frac{1}{x} + C

2 Steps

Set up the indefinite integral with respect to variable $x$.

\int \left( \frac{1}{x^{2}} \right) \, dx

Apply the Power Rule for Integration to find the antiderivative.

F(x) = -\frac{1}{x}

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Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.

The integral of 1/x² is -1/x + C.