The exact value of the integral [In[I + x) x²]+ 2dx is-0.3521. Evaluated this integral (a) by the Trapezoidal method with 4 panels, and compare with the exact using the absolute relative error. (b) by the Simpson's method with 4 panels, and compare with the exact using the absolute relative error. (c) by the Gauss Quadrature method with 3 sampling points (Gauss Quadrature with 3 sampling points: ,--0.775, S=0.0 and ,-0.775; w, 0.556, w, -0.889 and

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The exact value of the integral In(l + x)-x]+ 2dx is -0.3521.
(In( -
Evaluated this integral
(a) by the Trapezoidal method with 4 panels, and compare with the exact using the absolute
relative error.
(b) by the Simpson's method with 4 panels, and compare with the exact using the absolute
relative error.
(c) by the Gauss Quadrature method with 3 sampling points (Gauss Quadrature with 3
sampling points: 5,=-0.775, S=0.0 and =0.775; w, =0.556, w, =0.889 and
w,-0.556). Compare with the exact using the absolute relative error.
Transcribed Image Text:The exact value of the integral In(l + x)-x]+ 2dx is -0.3521. (In( - Evaluated this integral (a) by the Trapezoidal method with 4 panels, and compare with the exact using the absolute relative error. (b) by the Simpson's method with 4 panels, and compare with the exact using the absolute relative error. (c) by the Gauss Quadrature method with 3 sampling points (Gauss Quadrature with 3 sampling points: 5,=-0.775, S=0.0 and =0.775; w, =0.556, w, =0.889 and w,-0.556). Compare with the exact using the absolute relative error.
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