1. Infinite integral is a type of improper integral in calculi, and it is also a difficult point in integral.

2. In this paper, solution to improper integral has been got by using Laplace transform and inverse Laplace transform to improper integral with variable.

3. We calculate some improper integral and parameter improper integral by it.

4. These new improper integral inequalities are closely related with some integral inequalities proved by the present author in an earlier paper.

5. The improper integral is the limit state of the definite integral.

6. Because, discriminate functions, function and a series of parameter improper integral . We uniform convergence is research foundation of many mathematical problems.

7. Given a initial value, a wave packet can be expressed as a definite integral or an improper integral.

8. It can be expressed as an application of a Cauchy principal value improper integral.

9. There are many important mathematical analysis of elementary function is through the function series and definition of parameter improper integral . We.

10. The second part is in uniform convergence conditions function series, function and parameter improper integral. We properties.