Evaluate the integral of f(x) below between x=1.5 and x=5.3 using Gauss-Legendre formulas for 2, 3,...

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Evaluate the integral of f(x) below between x=1.5 and x=5.3using Gauss-Legendre formulas for 2, 3, and 4 points.

Compare with analytical integration, calculate the % error ofthe numerical method.

f(x)=4+8x−21x2 +16x3 −5x4+7x5

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The values above calculations are obtained using Excel Theintermediate calculations are as    See Answer
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