Question:
Which of the following is a method for numerical integration?
Which of the following is a method for numerical integration?
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Other classic numerical integration methods include Simpson's 1/3 Rule and Simpson's 3/8 Rule.
Updated On: Aug 24, 2026
- Bisection Method
- Trapezoidal Rule
- Interpolation
- Extrapolation
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
Numerical integration (often called quadrature) involves calculating the approximate numerical value of a definite integral when analytical integration is difficult or impossible.
Step 2: Detailed Explanation:
Let us review the purpose of each listed method:
- Bisection Method: A root-finding method used to solve non-linear equations.
- Trapezoidal Rule: A numerical integration technique that approximates the area under a curve by dividing it into a series of trapezoids.
- Interpolation: The process of estimating values between known data points.
- Extrapolation: The process of estimating values outside the range of known data points.
Therefore, the Trapezoidal Rule is a method for numerical integration.
Step 3: Final Answer
The correct option is (B).
Numerical integration (often called quadrature) involves calculating the approximate numerical value of a definite integral when analytical integration is difficult or impossible.
Step 2: Detailed Explanation:
Let us review the purpose of each listed method:
- Bisection Method: A root-finding method used to solve non-linear equations.
- Trapezoidal Rule: A numerical integration technique that approximates the area under a curve by dividing it into a series of trapezoids.
- Interpolation: The process of estimating values between known data points.
- Extrapolation: The process of estimating values outside the range of known data points.
Therefore, the Trapezoidal Rule is a method for numerical integration.
Step 3: Final Answer
The correct option is (B).
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