What is Simpson Rule and its details ?

y =  a0 +  a1x + a2x2 + a3x3,

where a0, a1, a2 and a3 are constants.

The area between any four consecutive ordinates  is  equal  to the sum of the end ordinates,plus threet imes eacho fthe middle ordinates, all multiplied by three-eighthso fthe common interval.

SIMPSON 3

SIMPSON 4

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  • The end bulkhead of a deep tank 10m deep has the following horizontal ordinates at equal intervals, commencing from the top are 18.2, 16.7 and 15.6m resp. Find the thrust on the bulkhead if the tank contains SW to a sounding of 5m.

    Please send me the solution

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