**Proper integral ** is a kind of integral in
Integral calculus, a branch of
Mathematics in
Calculus .

A integral with finite value of
Limit of a function and whose value does not approach to infinity.^{
[1]}^{
[2]}^{
[3]}^{
[4]}^{
[5]}

is finite and

Every integral whose value is finite is not proper integral until the limit existence is ensured.^{
[5]}

Limit existence is possible when the limit at right and left neighborhood is equal to limit itself. This condition ensures the integral to be proper integral.

It has Properties of addition and subtraction

1.Addition

2. Subtraction

**^***Krishna's Series: Integral Calculus (Fully Solved); First Edition: 1987; Siventeenth Edition: 2008*. Krishna Prakashan Media.**^**Mittal, P. K. (March 2005).*Integral Calculus*. S. Chand Publishing. ISBN 978-81-219-0681-4.**^**Society, American Mathematical (1901).*Transactions of the American Mathematical Society*. American Mathematical Society.**^**Weisstein, Eric W. "Proper Integral".*mathworld.wolfram.com*. Retrieved 2022-08-29.- ^
^{a}^{b}"calculus - What is the condition that determines a proper integral?".*Mathematics Stack Exchange*. Retrieved 2022-08-29.