Wolfram Language

Compute a Riemann Sum Approximation (AsymptoticSum)

Compute a Riemann sum approximation for a definite integral.

Compute the approximation for large values of .

Compare with the exact result given by Integrate.

Obtain the exact result using DiscreteLimit.

Compute a trapezoidal approximation for the integral.

Compute the approximation for large values of .

The trapezoidal rule is clearly more accurate than Riemann sum approximations.

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