# Differential Calculus Solved Problems Below is a simple form of integral calculus: For a function of the form k * xn , the integral equals k * x(n 1) (n 1) These formulas, while simple and basic, provide rudimentary examples for introducing the wide and expansive mathematical world known as calculus.This article was written by a professional writer, copy edited and fact checked through a multi-point auditing system, in efforts to ensure our readers only receive the best information.

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Its importance in the world of mathematics is in filling the void of solving complex problems when more simple math cannot provide the answer.

What many people do not realize is that calculus is taught because it is used in everyday life outside of high school and college classrooms.

When calculating an area, this process of “integration” results in a formula known as the integral.

Some will refer to the integral as the anti-derivative found in differential calculus.

The slope (m) is defined as the difference in Y divided by the difference in X.

Here is the differential calculus equation: (Y2-Y1) Slope = m = (X2-X1) Integral calculus involves calculating areas.

Integral calculus concentrates on determining mathematical answers such as total size or value.

A major feature of differential calculus is the use of graphs.

Integral calculus implies a form of mathematics that identifies volumes, areas and solutions to equations.

Differential calculus is a study of functions and the rate of change within functions when variables are altered.

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