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Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: $\int_a^bf(x)dx=-\int_b^af(x)dx$
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$-\int_{-2}^{2} x^{-3}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^(-3) from 2 to -2. Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: \int_a^bf(x)dx=-\int_b^af(x)dx. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -3. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Evaluate the definite integral.