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People often divide Calculus into integral and differential calculus.

In introductory calculus classes, differential calculus usually involves

learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation.

Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals.

There are thousands and thousand of applications of both integral and differential calculus.

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Q: Could Give and explain the two basic classifications of calculus?
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