Exercise
$\int_{-4}^{\infty}\left(\frac{1}{\sqrt[3]{x}}\right)dx$
Step-by-step Solution
Learn how to solve simplify trigonometric expressions problems step by step online. Integrate the function 1/(x^(1/3)) from -4 to infinity. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiply the fraction and term in - \frac{1}{3}. 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 -\frac{1}{3}. Add the initial limits of integration.
Integrate the function 1/(x^(1/3)) from -4 to infinity
Final answer to the exercise
The integral diverges.