Matlab Course - Step-by-Step Algorithm - Activity 01

 

Welcome to our blog about building algorithms in MATLAB! MATLAB is a high-level programming language and an interactive environment for numerical computing, visualization and programming. It is widely used in engineering, science and economics to solve complex problems and perform simulations.


In this blog, we will explore the process of building algorithms in MATLAB step by step. Let's start with the basics of programming in MATLAB and gradually move on to more advanced topics. Along the way, we'll provide practical examples and exercises to help you apply what you've learned.


Whether you are new to MATLAB or are looking to hone your skills, this blog is the right place for you. Join us on this exciting journey and discover how to create efficient and powerful algorithms in MATLAB!



(EXAMPLE 01) CALCULATION OF INDEFINITE INTEGRALS


Algorithm in MATLAB that calculates the indefinite integral of x^3 + x^2 + 2 with respect to the variable x:



CONSTRUCTION OF THE ALGORITHM STEP BY STEP


syms x

f = x^3 + x^2 + 2;

F = int(f,x)


First, we define x as a symbolic variable using the syms x command.

Next, we define the f function as x^3 + x^2 + 2.


Finally, we use the int(f,x) command to calculate the undefined integral of f with respect to the variable x. The result is stored in the variable F.

When running this code, we get the result F = (x^4)/4 + (x^3)/3 + 2*x, which is the indefinite integral of x^3 + x^2 + 2 with respect to the variable x.


SOLUTION




(EXAMPLE 02) CALCULATION OF DEFINED INTEGRALS


Algorithm in MATLAB that calculates the definite integral of x^3 + x^2 + 2 with respect to the variable x, in the interval [1;3].



CONSTRUCTION OF THE ALGORITHM STEP BY STEP


syms x
f = x^3 + x^2 + 2;
a = 1;
b = 3;
F = int(f,x,a,b)

  1. First, we define x as a symbolic variable using the syms x command.
  2. Next, we define the f function as x^3 + x^2 + 2.
  3. We define the integration limits a and b as 1 and 3, respectively.
  4. Finally, we use the int(f,x,a,b) command to calculate the definite integral of f with respect to the variable x in the interval [a,b]. The result is stored in the variable F.

When executing this code, we get the result F = 56, which is the value of the defined integral of x^3 + x^2 + 2 with respect to the variable x in the interval [1,3].



SOLUTION



LIVROS NA AMAZON


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