Final Answer
Step-by-step Solution
Specify the solving method
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: $\int_a^bf(x)dx=-\int_b^af(x)dx$
Learn how to solve definite integrals problems step by step online.
$-\int_{-2}^{2} x^{-3}dx$
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.