When it comes to determining the area of a specific shape, the integral method is a powerful tool. In this web article, we’ll explore a JavaScript example that demonstrates how to leverage this method for area calculation.
JavaScript Code:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | <!DOCTYPE html> <html> <head> <meta charset="utf-8"> <title>JavaScript Area Calculation</title> </head> <body> <script> // Defining the integral function Math.integral = function(a, b, c, xa, xb, h) { var xp, y, s, result = 0, g = (xb - xa) / h; for (var i = 0; i < h; i++) { xp = xa + g; y = (a * Math.pow(xp, 2)) + (b * xp) + c; s = g * y; result += s; } return result; } // Using the integral method with a sample window.alert(Math.integral(1, 4, 2, 10, 50, 100)); </script> </body> </html> |
Explanation of the Code:
- HTML Structure:
<!DOCTYPE html>declares the document type and version.- The
<html>element wraps the entire HTML content. - The
<head>section contains metadata, including character set and the page title. - The
<body>section holds the main content of the page.
- JavaScript Code:
- The
Math.integralfunction is defined to calculate the integral of a quadratic equation ax^2 + bx + c over a given range. - Parameters:
a,b, andcare coefficients of the quadratic equation.xaandxbdefine the integral limits.hdetermines the number of iterations, influencing the accuracy of the result.
- Inside the function, a loop iterates through the specified range, calculating the value of the quadratic equation at each point and accumulating the area using the integral method.
- The
- Sample Usage:
- The script then uses the defined
Math.integralfunction with a sample input(1, 4, 2, 10, 50, 100). - The result is displayed using
window.alert.
- The script then uses the defined
This example provides a basic understanding of how to implement the integral method in JavaScript for area calculations, specifically for quadratic equations. Adjust the coefficients and range according to your specific requirements.
a very specific integral. might be better to accept them as an array indicating the order, so:
[1,2,3,4,5]=5x^4+4x^3+3x^2+2x+1, then you would build it as:
function integral(input,x)
{
var res=0;
for(var i=0;i<input.length;i++)
{
power=i+1;
res+=((input[i]*Math.pow(x,power))/power);
}
return res;
}
if one of the numbers was subtracted put in a negative so 2x^2-3x+1 would be [1,-3,2]