The trapezoidal rule is named for the shape of the geometric figure it uses to approximate the area under a curve. Specifically, it approximates the integral of a function by dividing the area into trapezoids rather than rectangles. By calculating the area of these trapezoids and summing them up, the rule provides an estimate of the total area under the curve. This method is particularly effective for functions that are relatively linear over small intervals.
in trpezoidal rule for numerical integration how you can find error
Yes.
a trapezoidal prism
A right trapezoidal prism has 12 sides. Any prism has three times the number of sides of its cross-sectional shape. A trapezoid has four sides, so a [right] trapezoidal prism has 3 x 4 = 12 sides.
It's because the diagonal line on each trapezoid cuts down on the error of your area estimation. It is the average of the left and right rules.
simpson method
Yes, it is called a Trapezoidal or a Trapezoidal Prism.
in trpezoidal rule for numerical integration how you can find error
Yes.
2 ?
a trapezoidal prism
A right trapezoidal prism has 12 sides. Any prism has three times the number of sides of its cross-sectional shape. A trapezoid has four sides, so a [right] trapezoidal prism has 3 x 4 = 12 sides.
It's because the diagonal line on each trapezoid cuts down on the error of your area estimation. It is the average of the left and right rules.
Area of trapezoidal cross-section x length.
A trapezoidal prism has 8 vertices:A trapezoid has 4 vertices.A trapezoidal prism is composed of 2 trapezoids. 2 X 4 = 8.
You cannot have a trapezoidal cylinder. That is like a square circle - an impossible shape.
yes