Final answer to the problem
The integral diverges.
Step-by-step Solution
Specify the solving method
1
The integral of a function times a constant ($u$) is equal to the constant times the integral of the function
$u\int tdt$
Learn how to solve definite integrals problems step by step online.
$u\int tdt$
Learn how to solve definite integrals problems step by step online. Integrate the function ut from 0 to infinity. The integral of a function times a constant (u) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Add the initial limits of integration. Replace the integral's limit by a finite value.
Final answer to the problem
The integral diverges.