Exercise
$\int_0^{\infty}x^{\frac{3}{2}}dx$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Integrate the function x^(3/2) from 0 to infinity. 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{3}{2}. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.
Integrate the function x^(3/2) from 0 to infinity
Final answer to the exercise
The integral diverges.