Exercise
$\int_{-1}^0\left(\frac{1}{x^2}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function 1/(x^2) from -1 to 0. 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 -2. Simplify the expression. Replace the integral's limit by a finite value.
Integrate the function 1/(x^2) from -1 to 0
Final answer to the exercise
The integral diverges.