6.4 Q5.) Use Simpson's rule to approximate
1 answer:
For f(x) = 12/(1+x²), and subinterval width 4, you are to evaluate f(1), f(5), and f(9) and combine them according to the rule
... Integral ≈ (4/3)(f(1) + 4·f(5) + f(9)) = (4/3)(6.0000 + 4·0.4615 + 0.1463) ≈ 10.66
_____
Simpson's rule has you combine values of f(x) with coefficients 1, 4, 2, 4, ..., 2, 4, 1, where those values are evenly spaced at the edges of an even number of subintervals. Since we have only 3 values to combine, there are no terms that have a coefficient of 2. The entire sum is multiplied by 1/3 the subinterval width.
You might be interested in
Answer:
Step-by-step explanation:
The geometric description of the vase is described in the image attached below. The volume of the solid part of the vase is:
Where:
- Outer diameter, in centimeters.
- Vase thickness, in centimeters.
