One of the major applications of indefinite integrals is to calculate definite integrals. If you can't find the indefinite integral (or "antiderivative") of a function, some sort of numerical method has to be used to calculate the definite integral. This might be seen as clumsy and inelegant, but it is often the only way to solve such a problem.
Definite integrals, in turn, are used to calculate areas, volumes, work, and many other physical quantities that can be expressed as the area under a curve.
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What are the Applications of definite integrals in the real life?
Most likely, you will not be doing integrals as part of your daily life, but knowing how integrals work, can help you understand how some things work. Foir example, the interest earned on an interest bearing account (like a savings account) when compounded daily, is close to the value for 'continuous compounding'. The rate curve represents the interest earned at a particular time, and the area under the curve (the integral of the function) represents the total accumulated interest.
There are no real life applications of reciprocal functions
There are many examples of daily life applications of real numbers. Some of these examples include clocks and calendars.
you need it in carpentry