# GATE Questions & Answers of Integration by Simpson's rule

## What is the Weightage of Integration by Simpson's rule in GATE Exam?

Total 3 Questions have been asked from Integration by Simpson's rule topic of Numerical Methods subject in previous GATE papers. Average marks 1.67.

Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\frac{1}{3}$ Rule. Take the step length as 1. __________

$\int\limits_0^4(x^4+10)dx$

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The estimate of $\int\limits_{0.5}^{1.5}\frac{dx}x$ obtained using Simpson’s rule with three-point function evaluation exceeds the exact value by

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The table below gives values of a function F(x) obtained for values of x at intervals of 0.25.

 X 0 0.25 0.5 0.75 1 F(x) 1 0.9412 0.8 0.64 0.5

The value of the integral of the function between the limits 0 to 1 using Simpson’s rule is