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That's not really a valid question since integration is simply a mathematical tool used to solve certain kinds of problems that may come up. Very few people need to actually use this tool on an everyday basis and in fact, most people can successfully go through their entire lives without ever even knowing it exists. This is kind of like asking an American farmer what importance does the application of cricket bats have in daily life.
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What is the importance of differentiation and integration in real life?
There would be no modern technology without it. There would be no physics beyond the basic "high school" level. Physics leads to technology.
Real life application of a four bar linkage?
vice grips
What is the importance of calculus in your daily life?
It isn't important, but once you understand it your thought processes are forever different. ----------- You don't see the connection between daily activities and the mathematical models that can define them. That's because the math is just a way to understand and affect naturally-occurring processes and objects. Most modern versions of tools and inventions were improved by mathematical analysis in their design and manufacture.
Application of definite integral in real life?
Finding the area under a curve or the length of a line segment. These are real life uses, not just fun in your math class.
How do you use math in daily life?
It is used to tell time. Pay bills. Exercise. Cook. We are constantly using math.
