calculus

Question

The estimate of

$\int_{0.5}^{1.5}\frac{dx}{x}$

obtained using Simpson’s rule with threepoint function evaluation exceeds the exact value by

(A) 0.235 (B) 0.068 (C) 0.024 (D) 0.012

Answer 1

D option..

Comments

explain it

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Find the actual value by integrating and putting it will be around 1.09861 .. Find value using simpson 3-point rule as h/3(y0+yn+4(y1+y3+...) +2(y2+y4+...)) it will be around 1.11111 Error=1.09861-1.11111 =0.012