Approximate the definite integral of a function using Left Riemann Sums.
Parameters
Approximation
Left Sum (Ln)18.2400
Width (Δx)0.4000
Left Riemann Sum
A Riemann sum approximates the area under a curve by dividing it into rectangles. In a Left Riemann Sum, the height of each rectangle is determined by the function value at the left endpoint of its subinterval.
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Pro Tips
Increasing 'n' (number of rectangles) improves accuracy.
Δx = (b-a)/n is the width of each rectangle.
The left endpoint for the i-th rectangle is a + i*Δx.
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Fun Facts
"Bernhard Riemann introduced these sums in his 1854 habilitation paper."
"As n approaches infinity, the Riemann Sum converges to the definite integral."
