Use the trapezoidal rule and Simpson's rule with n= 4, 8, ..., 512 to find approx- imate values of the area under the curve of y= f(x) for the following functions f(x) on the given intervals: (a) f(x)=e-², 0≤x≤ 10 (b) f(x)= tan-¹ (1+x²), 0 ≤x≤2 (c) f(x)=√xe², 0≤x≤1
Use the trapezoidal rule and Simpson's rule with n= 4, 8, ..., 512 to find approx- imate values of the area under the curve of y= f(x) for the following functions f(x) on the given intervals: (a) f(x)=e-², 0≤x≤ 10 (b) f(x)= tan-¹ (1+x²), 0 ≤x≤2 (c) f(x)=√xe², 0≤x≤1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. Use the trapezoidal rule and Simpson's rule with n = 4, 8, ..., 512 to find approx-
imate values of the area under the curve of y = f(x) for the following functions
f(x) on the given intervals:
(a) f(x) = e-x², 0≤x≤ 10
(b) f(x) = tan-¹ (1+x²), 0≤x≤2
(c) f(x)=√xe³, 0≤x≤1
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