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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.
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.
Analysis is a broader term for Calculus and the theorems behind it. It is studied both with real and complex numbers as real and complex analysis. Usually calculus just deals with the basic problems of differential calculus and integral calculus.