Integral, in mathematics, is a concept used to describe the accumulation of quantities over a region. It has applications in various fields such as physics, economics, and engineering. In calculus, integrals can be classified into definite integrals and indefinite integrals.
Definite integrals represent the area under a curve between two specific points on the xaxis. It can be calculated using the fundamental theorem of calculus. On the other hand, indefinite integrals do not have specified limits and result in a function rather than a specific value.
The process of finding integrals involves techniques like integration by substitution, integration by parts, and trigonometric integrals. These methods are essential for solving complex problems involving continuous variables.
In summary, integrals play a crucial role in mathematical analysis and have widespread applications in various disciplines due to their ability to model accumulation and solve optimization problems.
