- #1
kasse
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How do I solve that one?
The formula for solving Int(1/x^2) is ∫ 1/x^2 dx = -1/x + C, where C is a constant of integration.
No, the power rule only applies to integrals of the form ∫ x^n dx, where n is a constant. Since the exponent in this integral is -2, the power rule cannot be used.
The domain of this integral is all real numbers except 0, as the function 1/x^2 is undefined at x=0.
One way to simplify this integral is by using the property of exponents that states x^-2 = 1/x^2. This allows us to rewrite the integral as ∫ x^-2 dx, which may be easier to integrate.
Yes, the graph of 1/x^2 is a hyperbola with a vertical asymptote at x=0. The integral of this function is the area under the curve from a given point to infinity, which approaches 0 as the limit of integration approaches infinity.