Learn how to solve problems step by step online. Integrate the function 1/(x^9) from 0 to 1. 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 -9. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Replace the integral's limit by a finite value.

Integrate the function 1/(x^9) from 0 to 1