Question
Asked Dec 3, 2019
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Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Compare your result with the exact value of the integral. (Give your answers correct to 4 decimal places.)

035x2dx; n=6
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Expert Answer

Step 1

The given integral is,

[5x dx with n-6
0
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[5x dx with n-6 0

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Step 2

The function, f with the limits and width of each subintervals are,

f(x)5x2, a 0, b=3
b-а
Ax
(width of each subinterval)
п
1
Ar =
2
-
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f(x)5x2, a 0, b=3 b-а Ax (width of each subinterval) п 1 Ar = 2 -

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Step 3

Compute the values of the function, a...

f(x) 0
5
f(x)=
4
f(x)s
45
f()
4
f(x)20
125
f (x)
4
f() 45
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f(x) 0 5 f(x)= 4 f(x)s 45 f() 4 f(x)20 125 f (x) 4 f() 45

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Tagged in

Math

Calculus