There is an HUGE number of applications but I'll give you an example:
Say you have a function of food consumption (independent variable) against number of people. If you integrate this function you will get a figure for total food consumption.
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Im still taking Integral Calculus now, but for me, if you dont know Differential Calculus you will not know Integral Calculus, because Integral Calculus need Differential. So, as an answer to that question, ITS FAIR
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
Liebniz and Newton
Do a line integral.
Before you can do a project on any subject you need to understand that subject.Integral calculus is a 'higher' form of mathematics, if you are asking such a question then you obviously do not understand what it involves. I suggest you study more math.I suggest you start by learning integral calculus.