\n \n \n More rectangles give a more accurate estimate.\n
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Approximate Integral Value:
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Calculated using Left Hand Riemann Sum with rectangles.
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Calculation Steps:
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Width of each rectangle (Δx):
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Sum of areas:
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Data Table:
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Rectangle #
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Left Endpoint (x_i)
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Function Value (f(x_i))
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Area (f(x_i) * Δx)
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Interpretation:
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The left-hand sum provides an approximation of the area under the curve of the function from to .
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For increasing functions, the left-hand sum will typically underestimate the actual integral value. For decreasing functions, it will typically overestimate.