Integrals

Related BrainMass Solutions

• Polar coordinates and integrals

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• Vector calculus: Surface Integrals

  51800 Vector calculus: Surface Integrals #16) Surface integrals; s G(r) dA. Evaluate these integrals for the given data. (show the details.)

• Indefinite integrals

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• Double Integrals : Reversing Order of Integration and Sums of Iterated Integrals

  Double integrals, reversing order of integration and sums of iterated integrals are investigated and discussed. The solution is detailed and well presented.

• Composite Trapezoidal Rule, Simpson's Rule and Gaussian Quadratures

  Use Gaussian Quadratures with n = 2, n = 4, n = 5 to evaluate integrals in Problem 1. 4. Find exact values of the integrals given in Problem 1. Compare errors in approximate values of the integrals. 5.

• Definite Integrals

  181284 Discussing Definite Integrals Definite Integrals - Work out the given definite integrals. (See the attached questions file). The solution is attached. Using fundamental theorem, evaluate the definite integrals exactly.

• Approximation o integral with Gaussian quadrature

  102207 Approximation of Two Integrals with Gaussian Quadrature Approximate the following integrals using Gaussian quadrature with n = 3 and n = 4 then compare your results to the exact values of the integrals.

• Integrals

  188697 Integrals See attached Evaluate the following integrals... please see the attached file. This provides several examples of evaluating integrals.

• Contour Integrals and Residue Theorem

  62186 Contour Integrals and Residue Theorem B9. Evaluate the following integrals by substituting z = e^iθ to obtain contour integrals, then use the residue theorem. (i) ∫sin 2θ cos 4θ dθ 0--> 2 pi (ii) ∫sin^2 θ cos^4 θ dθ 0 --> 2pi B10.

• Evaluating Integrals using the Fundamental Theorem of Calculus

  137400 Evaluating Integrals using the Fundamental Theorem of Calculus Please explain the steps and solutions, thanks: Use the Fundamental Theorem of Calculus to calculate the integrals: ² 3x² a) ∫ ‾