## Step-by-step explanation

Problem to solve:

Learn how to solve definite integrals problems step by step online.

$\lim_{c\to\infty }\:\int_{0}^{c} utdt$

Learn how to solve definite integrals problems step by step online. Integrate ut from 0 to \infty. Replace the integral's limit by a finite value. The integral of a constant by a function is equal to the constant multiplied by 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 constant function. Evaluate the definite integral.