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Example 1 illustrating a left Riemann sum approximation for the integral of f(x) = 2x² + 1 over [-1, 3] using three subintervals.

Graph of f(x) = 2x² + 1 with a left Riemann sum approximation using three subintervals from -1 to 3, showing the calculation ∫ from -1 to 3 of f(x) dx ≈ 1f(-1) + 2f(0) + 1f(2) = 14.

Graph of f(x) = 2x² + 1 with a left Riemann sum approximation using three subintervals from -1 to 3, showing the calculation ∫ from -1 to 3 of f(x) dx ≈ 1f(-1) + 2f(0) + 1f(2) = 14.

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