How To Calculate Left Hand Sum Of Integral

Left-hand sum of integral is a numerical method used to approximate the definite integral of a function. It’s crucial in calculus and physics, enabling us to find areas under curves and solve real-world problems.

1. Enter the lower and upper limits of integration.
2. Select the function to integrate.
3. Click ‘Calculate’.

The left-hand sum of integral is given by: Σ [f(x_i) * (x_i+1 – x_i)] for i = 0 to n-1, where x_i are the left endpoints of the subintervals.

Function	Left-Hand Sum	Right-Hand Sum	Definite Integral

• Use a smaller interval width (h) for more accurate results.
• Left-hand sum is biased towards the left, while right-hand sum is biased towards the right.

What is the difference between left-hand and right-hand sum?

The main difference is the choice of endpoints in each subinterval.