सिम्पसन के एक-तिहाई नियम (Simpson's one-third rule) का उपयोग करके समाकल ∫01 dx1 + x2 का अनुमानित मान ज्ञात कीजिए, जहाँ h = 14 है।

The values of constants a, b, c such that the quadrature formula ∫0h f(x) dx = h [a f(0) + b f(h3) + c f(h)] is exact for polynomials of maximum possible degree are:

A river is 80 m wide. The depth d in meters at a distance x meters from the bank is given by: x: 0, 10, 20, 30, 40, 50, 60, 70, 80 d: 0, 4, 7, 9, 12, 15, 14, 8, 3 The area of cross-section of the river using Simpson's 1/3 rule is: