What is integral used for in real life?

Integrals play a significant role in various real-life scenarios.

One primary application of integrals is calculating areas under curves. This method is particularly useful in physics for determining distance and velocity. By integrating the velocity function over a specific interval, one can find the total distance traveled by an object.

Integrals are also employed to determine the volume of irregular shapes. This process involves slicing the shape into smaller, manageable parts, calculating the area of each slice, and then summing these areas up using integration.

In addition, integrals are essential for finding the total accumulated quantities. For instance, in economics, integrals are used to calculate income over time by integrating the revenue function.

In the field of engineering, integrals serve as a powerful tool for analyzing forces and motion. Engineers often use integrals to determine the net force acting on a body and to predict its subsequent motion.