Exercise
$\int_1^{\infty}\left(\frac{1}{x^3+2x}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function 1/(x^3+2x) from 1 to infinity. Rewrite the expression \frac{1}{x^3+2x} inside the integral in factored form. Rewrite the fraction \frac{1}{x\left(x^2+2\right)} in 2 simpler fractions using partial fraction decomposition. Simplify the expression. The integral \int\frac{1}{2x}dx results in: \frac{1}{2}\ln\left(x\right).
Integrate the function 1/(x^3+2x) from 1 to infinity
Final answer to the exercise
The integral diverges.