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In which of these methods the function is assumed to vary linearly with the independent variable?(a) Trapezoidal rule and Simpson’s rule(b) Trapezoidal rule(c) Midpoint rule and Simpson’s rule(d) Only Simpson’s ruleI got this question during an online exam.This interesting question is from Finite Volume Methods in section Finite Volume Methods of Computational Fluid Dynamics

Answer»

Correct answer is (b) Trapezoidal RULE

Easy explanation: The trapezoidal rule ASSUMES that the dependent VARIABLE varies LINEARLY with the independent variable. So, the mean of the values at the endpoints is taken to calculate the integral value.



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