3 dx 1. Use the Simpson's and Trapezoidal rule with n = 4 to estimate . Then compare the two results. %3D

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Q: Calculate MN and TN for the value of N indicated.

A: Given ∫12lnxdx, N=5

Q: d. Use your answers for parts a and b to estimate 1 -dx using the trapezoid rule with n=4

A: Approximate by trapezoid rule

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Q: 4 dx 1+ By using (Answer one only) a- Trapezoidal rule when n=5 b- Simpson's rule when n=6

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Q: -3 dx 1. Use the Simpson's and Trapezoidal rule with n = 4 to estimate Then compare the two results.

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Q: 3.2 The value of e-0.5*dx by using three-segment trapezoidal rule is most nearly 1.1

A: The complete solution is in given below

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Q: Q1/ Answer the following: 1- " |x | dx = ? 2- ofw4 sec² x dx =1

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Q: 3 To find the blue shaded area above, we would calculate: f(x)dx = area a Where: b = a = f(x) = %D…

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Q: ? the O.D.E's below is exact (x³ + y³)dx – (3xy²)dy = 0

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Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

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A: Given data:   The given initial condition is A(0)=$1 million.   The initial condition can be written…

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A: Use Integration by parts

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Q: 3 5. Evaluate I x*dx exactly and find the actual error with the trapezoid approximation. 0.

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Q: eт 3 cot (In x) dx 30. х e/4

A: Integrate the function:

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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.