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Evaluate the integral integral1.24.4 (2x2 + 3x - 1)/(sqrt(x+2)) dx using the Trapezium Rule with eight ordinates.
Mathematics
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Answer
To evaluate the integral using the Trapezium Rule with eight ordinates, we first need to determine the step width .
Step 1: Determine the number of strips () and the step width ().
The number of ordinates is given as 8. In the Trapezium Rule, the number of ordinates is typically , where is the number of strips.
So, strips.
The limits of integration are and .
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