Use Gaussian Numerical Integration to calculate the values of L and I, for: 2x 1 I = - 3.62759872846844 dx 2 + cosx 5.3 GAUSSIAN NUMERICAL INTEGRATION Table 5.7. Nodes and Weights of Gaussian Quadrature Formulas +0.5773502692 1.0 +0.7745966692 0.5555555556 0.0 0.8888888889 10.8611363116 0.3478548451 10.3399810436 0.6521451549 20.9061798459 0.2369268851 10.5384693101 0.4786286705 0.0 0.5688888889 #0.9324695142 0.1713244924 10.6612093865 0.3607615730 +0.2386191861 0.4679139346 7 10.9491079123 0.1294849662 10.7415311856 0.2797053915 +0.4058451514 0.3818300505 0.0 0.4179591837 +0.9602898565 0.1012285363 +0.7966664774 0.2223810345 +0.5255324099 0.3137066459 10.1834346425 0.3626837834
Use Gaussian Numerical Integration to calculate the values of L and I, for: 2x 1 I = - 3.62759872846844 dx 2 + cosx 5.3 GAUSSIAN NUMERICAL INTEGRATION Table 5.7. Nodes and Weights of Gaussian Quadrature Formulas +0.5773502692 1.0 +0.7745966692 0.5555555556 0.0 0.8888888889 10.8611363116 0.3478548451 10.3399810436 0.6521451549 20.9061798459 0.2369268851 10.5384693101 0.4786286705 0.0 0.5688888889 #0.9324695142 0.1713244924 10.6612093865 0.3607615730 +0.2386191861 0.4679139346 7 10.9491079123 0.1294849662 10.7415311856 0.2797053915 +0.4058451514 0.3818300505 0.0 0.4179591837 +0.9602898565 0.1012285363 +0.7966664774 0.2223810345 +0.5255324099 0.3137066459 10.1834346425 0.3626837834
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Use Gaussian Numerical Integration to calculate the values of L and L, for:
1
I =
dx
- 3.62759872846844
2 + cosx
V3
5.3 GAUSSIAN NUMERICAL INTEGRATION
Table 5.7. Nodes and Weights of Gaussian Quadrature Formulas
+0.5773502692
1.0
#0.7745966692
0.5555555556
0.0
0.88888888
4
10.8611363116
0.3478548451
10.3399810436
0.6521451549
+0.9061798459
0.2369268851
10.5384693101
0.4786286705
0.0
0.5688888889
6.
+0.9321695142
0.1713244924
+0.6612093865
0.3607615730
#0.2386191861
0.4679139346
+0.9491079123
0.1294849662
1.0.7415311856
0.2797053915
+0.4058451514
0.3818300505
0.0
0.4179591837
8
+0.9602898565
0.1012285363
+0.7966664774
0.2223810345
£0.5255324099
0.3137066459
+0.1834346425
0.3626837834
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8346c4e-0a9d-4e3c-96c5-4449522ad6e6%2F18412623-19ee-47b5-b2b7-f883f11c16b3%2Fnkek8t5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use Gaussian Numerical Integration to calculate the values of L and L, for:
1
I =
dx
- 3.62759872846844
2 + cosx
V3
5.3 GAUSSIAN NUMERICAL INTEGRATION
Table 5.7. Nodes and Weights of Gaussian Quadrature Formulas
+0.5773502692
1.0
#0.7745966692
0.5555555556
0.0
0.88888888
4
10.8611363116
0.3478548451
10.3399810436
0.6521451549
+0.9061798459
0.2369268851
10.5384693101
0.4786286705
0.0
0.5688888889
6.
+0.9321695142
0.1713244924
+0.6612093865
0.3607615730
#0.2386191861
0.4679139346
+0.9491079123
0.1294849662
1.0.7415311856
0.2797053915
+0.4058451514
0.3818300505
0.0
0.4179591837
8
+0.9602898565
0.1012285363
+0.7966664774
0.2223810345
£0.5255324099
0.3137066459
+0.1834346425
0.3626837834
2.
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