Found 3 Articles for Calculus

Introduction The area under a curve between two points is found out by doing a definite integral between the two points. Among the various ways to calculate the area under the curve, the most popular method is the antiderivative method. By determining the equation for the curve, the boundaries of the curve, and the axis enclosing the curve the area under the curve can be calculated. There are formulas to find the area enclosed by a circle, square, rectangle, and other polygons, but the area under the curve can be used to find area for the shapes that do ... Read More

Calculus has two main branches, Differential Calculus, and Integral Calculus. Differential Calculus is the branch of calculus that deals with limits, continuity, derivatives, and differentiability. Continuity is defined as the property of a function to have a non breaking graph i.e. limit of the function exists at all the points in the domain and differentiability is the property of the function to have a derivative at all the points in the domain. Whereas the Integral calculus is the branch of calculus that deals with integration and the area under the curve of a function. Integrations are the exact opposite of ... Read More

Introduction In engineering, we come across various systems where the process depends on more than one variable. In this case, the optimization and designing of the system need the involvement of multiple variables. In this direction, multivariable calculus plays an important role. It has various applications starting from economics to science. In this tutorial, we will learn about multivariable calculus and its various operations (such as limits, continuity, partial derivatives, and integration) with solved examples. What is meant by Multivariable Calculus Multivariable calculus is an extended topic of calculus that includes multiple variable functions. ... Read More