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Free Midpoint Rule calculator - approximate the area of a curve using Midpoint Rule (Riemann) step-by-step
25 lip 2021 · Calculate the absolute and relative error in the estimate of \(\displaystyle ∫^1_0x^2\,dx\) using the midpoint rule, found in Example \(\PageIndex{1}\). Solution: The calculated value is \(\displaystyle ∫^1_0x^2\,dx=\frac{1}{3}\) and our estimate from the example is \(M_4=\frac{21}{64}\).
The Midpoint Rule is a numerical method used to approximate the value of a definite integral. It provides a way to estimate the area under a curve, which is particularly useful when the integral cannot be calculated directly.
This tool will calculate the midpoint rule approximation of an integral for a given function, interval, and number of subintervals.
Midpoint rule for definite integrals: Enter a function f(x), use the a and b sliders to choose the limits of integration, and use the n slider to increase the number of subintervals.
Midpoint rule, also known as the midpoint approximation. It is the numerical integration technique that approximates the area under the curve f(x) by dividing the interval into subintervals of equal length and evaluating the functional value at the midpoint of each subinterval.
MidPoint Rule Calculator. Simplify your calculus homework with our easy-to-use Midpoint Rule Calculator. Quickly and accurately calculate numerical approximations.
