Subjects calculus

Integral 1 Over X2 Fb9Ad6

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Integral 1 Over X2 Fb9Ad6


1. Tentukan integral tak tentu dari $\int \frac{1}{x^2} \, dx$. 2. Gunakan aturan integral pangkat: $\int x^n \, dx = \frac{x^{n+1}}{n+1} + C$ untuk $n \neq -1$. 3. Integral $\int \frac{1}{x^2} \, dx = \int x^{-2} \, dx = \frac{x^{-2+1}}{-2+1} + C = \frac{x^{-1}}{-1} + C = -\frac{1}{x} + C$. Jadi, hasilnya adalah $$\int \frac{1}{x^2} \, dx = -\frac{1}{x} + C.$$