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To evaluate the integral using the trapezium rule with eight ordinates, we first need to determine the strip width h.

Mathematics

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To evaluate the integral using the trapezium rule with eight ordinates, we first need to determine the strip width hh.
The integral is ∫1.24.42x2+3x−1x+2dx\int_{1.2}^{4.4} \frac{2x^2 + 3x - 1}{\sqrt{x+2}} dx.
Let f(x)=2x2+3x−1x+2f(x) = \frac{2x^2 + 3x - 1}{\sqrt{x+2}}.
The lower limit is a=1.2a = 1.2 and the upper limit is b=4.4b = 4.4.
The number of ordinates is 8, which means the number of strips n=8−1=7n = 8 - 1 = 7.

Step 1: Calculate the strip width hh.

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