h 4h 2h 4h 2h 2h 2h h [ ^ƒ (x) dx = = f (a) + 4/1 (x₂) + ² S (x₂)+ S (x3) + S(x) + ...+ ²/1-1 (2-2) + √(x 2₁-1) + √ (b) a where h= 0 to x = 2. b-a 2n and x = a + hk for k=0, 1, 2, 3, ..., 2n-1, 2n. Using the given numerical method with n = 50, approximate the integral of f(x) = 7e-** sinx ² from x =

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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According to numerical methods, the integral of a function f(x) over the limits a and b can be approximated in many ways. One way is
h
4h
2h
4h
2h
2h
h
2h
[ */ (x) dx = = / (a) + + + / (+1) + 3 / / (+ 2) +
f(x) x
((,) + (( .) +...+(*2_) + (-1) + (6)
(x —
- 7 -¹
a
b-a
2n
where h=-
0 to x = 2.
and x = a + hk for k=0, 1, 2, 3, ..., 2n-1, 2n. Using the given numerical method with n = 50, approximate the integral of f(x):
= 7ex sinx² from x =
Transcribed Image Text:According to numerical methods, the integral of a function f(x) over the limits a and b can be approximated in many ways. One way is h 4h 2h 4h 2h 2h h 2h [ */ (x) dx = = / (a) + + + / (+1) + 3 / / (+ 2) + f(x) x ((,) + (( .) +...+(*2_) + (-1) + (6) (x — - 7 -¹ a b-a 2n where h=- 0 to x = 2. and x = a + hk for k=0, 1, 2, 3, ..., 2n-1, 2n. Using the given numerical method with n = 50, approximate the integral of f(x): = 7ex sinx² from x =
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