Class Activity 2 Evaluate the following integral using 3 point Gauss quadrature. sin/x) dx Answer: I...
Evaluate M- )dx, using two points Gauss Lengendre Quadrature.
3. (1 point) This is 2-point Gaussian Quadrature for any f(x) dx. The weights and the nodes do not change when we integrate a new function. So...does it work? Does this actually lead to a method that is good for intergating functions in general? Use 2-point Gaussian quadrature to approximate the following integral: I e-ra da. -1 The exact value of this integral rounded to 2 decimal places is 1.49. Show your work when computing the approximation. Report the answer...
Evaluate the following integral. 1/2 7 sin ?x -dx 1 + cos x 0 1/2 7 sin 2x dx = V1 + cos x 0 Score: 0 of 1 pt 1 of 10 (0 complete) HW Score: 0%, 0 of 10 pts 8.7.1 A Question Help The integral in this exercise converges. Evaluate the integral without using a table. dx x +49 0 dx X2 +49 (Type an exact answer, using a as needed.) 0
Using a two-point Gauss quadrature, where the weights and abscissae are provided in the table i Si 1 1.0 IS 2 1.0 the value of the integral is estimated to be 5.54 5.78 None of the above. 5.67 5.69
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)
3. Approximate the following integral using the two-point Gaussian quadrature rule 2 (x + a)?e(x-1)2-Bdx
need only the answer Evaluate the integral by using multiple substitutions. dx 313x2 – 2) sin(x3 2x) cos(x3 - 2x) O 2 sin(x3 - 2x) + C 15 sin4 (x3 - 2x) + c o cos6 (3x2)+C o į sin® (x3 - 2x)+ c
Evaluate the definite integral. (4x + sin x) dx (1) + + 73/2 (2) 12 - 2/2 (3) 212 + 2 (4) -1
D Question 17 1 pts Using a two-point Gauss quadrature, where the weights and abscissae are provided in the table 10 1 1.0 2 1.0 the value of the integral is estimated to be 5.69 None of the above. 5.54 5.67 5.78 Question 16 1 pts Problem 16: Quadratures Given the integral: (2.5 - 3) de The Jacobian of the mapping required to evaluate the integralis J-3.50 None of the above. J-5.00 J-1.5 J-7.00
Problem 4 A definite integral I is given as .b I=| f(x) dr a=0 b=2 f(x) = e-r' ; ; ; Evaluate the integral using the three-point Gaussian quadrature method Solution: Problem 4 A definite integral I is given as .b I=| f(x) dr a=0 b=2 f(x) = e-r' ; ; ; Evaluate the integral using the three-point Gaussian quadrature method Solution: