Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
Learn how to solve polynomial long division problems step by step online.
$\int x^{-3}dx$
Learn how to solve polynomial long division problems step by step online. Integrate the function 1/(x^3) from 0 to infinity. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. 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. Add the initial limits of integration. Replace the integral's limit by a finite value.