Calculus Projects

Calculus Projects Calculus Projects deal with two most important parameters of Mathematics and Physics. It deals with the solution of the problems where we need to find the derivative and integration of the function. Here the function can be algebraic, trigonometric, exponential, or any other function. So calculus project helps in the step by step evaluation of the problems, which involves differentiation and integration. This can be better clarified by taking individual examples of differentiation and integration. The examples are as shown below:- Example 1:- Find the derivative of the Sin (2x) Solution 1:- Given function is Sin (2x) To find: - d/dx Sin (2x) We know that,d/dx (Sinx) = Cos x Therefore, d/dx Sin (2x) = Cos (2x). d/dx (2x) (because it is a composite function). So d/dx Sin (2x) = Cos (2x). 2 Therefore, d/dx Sin (2x) = 2. Cos (2x) Hence d/dx Sin (2x) = 2. Cos (2x). This is the project problem of calculus. Here we have solved one part of calculus that is known as differentiation. Example 2:- Find the integration of x3 dx Solution 2:- Given function is x3. Here we have to find the integration of x3. Now we know that,xn.dx = xn+1/ n+1 + c, Here c is constant of integration Therefore, x3 dx = ( x3+1/ 3+1) + c = x4/4+ c So the integration of x3 dx = x4/4+ c In this example c is constant of integration. And in this example we have evaluated the important part of calculus that is known as integration.