What is the geometrical significance of trapezoidal rule
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Answer:
Step-by-step explanation:
In mathematics, and more specifically in numerical analysis, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) is a technique for approximating the definite integral. . The trapezoidal rule works by approximating the region under the graph of the function as a trapezoid and calculating its area.
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Answer:
The correct answer to this question is to evaluate the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles.
Step-by-step explanation:
Given - Significance of trapezoidal rule.
To Find - What is the geometrical significance of the trapezoidal rule
While the trapezoidal rule uses trapezoidal approximations to estimate the definite integral, the midpoint rule uses rectangular regions to do so. The Trapezoidal Rule divides the whole area into smaller trapezoids rather than utilizing rectangles to calculate the area under the curves. This integration determines the area by approximating the region beneath a function's graph as a trapezoid. The definite integral can be approximated using the trapezoidal rule. display style "int _abf(x)", dx." The region under the graph of the function f(x) is approximated to be a trapezoid in the trapezoidal rule, and its area is calculated.
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