Answer:
The integrand is √(1 + (dy/dx)²)
Explanation:
To find the length of the path from point A to point B, we can set up an integral using the formula for arc length. The integrand is derived from the Pythagorean theorem, which calculates the infinitesimal length of a small segment on the path.
Let's say the path is defined by the equation y = f(x), where x and y are the coordinates of points along the path. We'll assume the path is bounded by x = a and x = b.
The integrand for the arc length integral is given by:
√(1 + (dy/dx)²)
So, bro, all you need to do is substitute the expression for dy/dx based on the given equation for the path y = f(x). Then, you can integrate this expression from a to b to find the length of the path from A to B.
Remember, the integrand is: √(1 + (dy/dx)²)
Hope that helps,