Using Simpson's rule with n=2, I(x³ + 1) dx = Select one: а. 22.1 b. 22 c. 22.2 16 d. 22.01

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A: Please see the answer below.

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A: Given- ∫x3x2+14 To find- The value of the integral

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A: To evaluate the given double integral.

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A: Here Simpson 1/3 is not applicable.

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A: Given:  ∫x2-1x+3x4+4xdxwe know that ∫A+Bdx=∫Adx+ ∫BdxThen,∫x2-1x+3x4+4xdx=∫x2dx-∫1xdx+∫3x4dx+∫4xdx…

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A: Use the formulas below to evaluate the integrals. ∫xndx=xn+1n+1 +C∫dxx=ln x +C   The logarithmic…

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A: Given :                   ∫(1,1)(2,0) 2xy + y3 + 8x dx + x2 + 3y2x + 6y dy

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.