4. Transform the integral formula [[+++] f(0)+3f 1 8 so that it can be used for f(x)dx. 3

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
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Chapter2: Graphical And Tabular Analysis
Section2.3: Solving Linear Equations
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4. Transform the integral formula
2
[S0xdx = [(0) +35 (1) + 35 ( ²3 ) + 5]
3f
8
3
b
so that it can be used for f(x)dx.
(a) 1 x de
dx.
a
5. Show how the Newton-Cotes formula
1
2
| S(x) dx = ²(0) + ² / ( 1 ) + 1 sa
+=f(1)
6
3 2
can be used for f(x)dx. Apply this result to evaluate
(b)
sin t
dt.
Transcribed Image Text:4. Transform the integral formula 2 [S0xdx = [(0) +35 (1) + 35 ( ²3 ) + 5] 3f 8 3 b so that it can be used for f(x)dx. (a) 1 x de dx. a 5. Show how the Newton-Cotes formula 1 2 | S(x) dx = ²(0) + ² / ( 1 ) + 1 sa +=f(1) 6 3 2 can be used for f(x)dx. Apply this result to evaluate (b) sin t dt.
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