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.)

 

014/(1+x) dx; n=4

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Expert Answer

Step 1

Given: -

4
-dr;n=4
1+x
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4 -dr;n=4 1+x

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Step 2

To find: -

The value of integral by Trapezoidal rule and Simpson's rule and
compare the result with the exact value of integral.
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The value of integral by Trapezoidal rule and Simpson's rule and compare the result with the exact value of integral.

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Step 3

Calculate:...

It is given that
4
-dx;n= 4
1+x
using the trapezoidal rule,
here, a 0 and b = 1,
b-a
Ar
n
1-0
4
1
4
now
1
1
3
X4 = 1
4
4
help_outline

Image Transcriptionclose

It is given that 4 -dx;n= 4 1+x using the trapezoidal rule, here, a 0 and b = 1, b-a Ar n 1-0 4 1 4 now 1 1 3 X4 = 1 4 4

fullscreen

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Tagged in

Math

Calculus

Integration