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Value of ∫₄⁵.2 ln x dx using Simpson’s one-third rule with interval size 0.3 is

1. 1.83
2. 1.60

Correct answer: 1.83

Solution

Simpson's one-third rule provides an approximation for the integral by using quadratic polynomials to estimate the area under the curve. By applying this method with the specified interval size of 0.3 over the limits from 4 to 5.2, the calculated value of the integral is approximately 1.83, which aligns with the correct option.

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