The value of fxe dx by the using one-segment trapezoidal rule is most nearly 02 (A) 11.672 (B) 11.807 (C) 20.099 (D) 24.119

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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The value of fxe dx by the using one-segment trapezoidal rule is most nearly
0.2
(A) 11.672
(B) 11.807
(C) 20.099
(D) 24.119
Solution
The correct answer is (C).
f(a)+ f(b)
kdx
2
where
a = 0.2
b = 0.2
f(x) = xe*
f(0.2) = 0.2e02
= 0.24428
f(2.2) = 2.2e
= 19.855
22
0.24428 +19.855
fxe'dx = (2.2-0.2)
2
0.2
= 2x10.050
%3D
= 20.099
Transcribed Image Text:The value of fxe dx by the using one-segment trapezoidal rule is most nearly 0.2 (A) 11.672 (B) 11.807 (C) 20.099 (D) 24.119 Solution The correct answer is (C). f(a)+ f(b) kdx 2 where a = 0.2 b = 0.2 f(x) = xe* f(0.2) = 0.2e02 = 0.24428 f(2.2) = 2.2e = 19.855 22 0.24428 +19.855 fxe'dx = (2.2-0.2) 2 0.2 = 2x10.050 %3D = 20.099
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