How large should n be to guarantee that the Trapezoidal Rule approximation to -12x-48x2 + 2x + 5) dx is accurate to within 0.1. | n = How large should n be to guarantee that the Simpsons Rule approximation to 2 1(-2 - 12 - 482 + 2x + 5) dx is accurate to within 0.1. n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n Question Help: DVideo 1 D Video 2

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A: Please see the below picture for detailed solution.

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A: As per company guidelines, I can solve only one questions in multiple given questions.

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A: given      x = 4                 x12 = 4          squaring on both sides            (x12)2 =42

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A: Solution

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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.