Exercise
$\int_1^{\infty}\left(\frac{5}{3\sqrt[3]{x}}\right)dx$
Step-by-step Solution
Learn how to solve improper integrals problems step by step online. Integrate the function 5/(3x^(1/3)) from 1 to infinity. Take the constant \frac{1}{3} out of the integral. 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}. The integral of a function times a constant (5) is equal to the constant times the integral of the function.
Integrate the function 5/(3x^(1/3)) from 1 to infinity
Final answer to the exercise
The integral diverges.