Integrate. -1/x^2

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Integrate-1/x^2


To integrate the function -1/x^2, you can use the power rule for integration. The power rule states that ∫x^n dx = (x^(n+1))/(n+1), where n ≠ -1.


Applying the power rule, we can rewrite -1/x^2 as -x^(-2). Integrating -x^(-2), we get:


∫(-1/x^2) dx = ∫(-x^(-2)) dx


Using the power rule, the integral becomes:


= -x^(-2 + 1)/(2 - 1) + C

= -x^(-1)/1 + C

= -1/x + C


Therefore, the integral of -1/x^2 is -1/x + C, where C is the constant of integration.

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