# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_0^{\infty}utdt$

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.

The integral diverges.

### Problem Analysis

$\int_0^{\infty}utdt$

### Main topic:

Definite integrals

~ 0.06 seconds