Simpson's Rule help please.. really quick question
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Simpson's Rule help please.. really quick question

[From: ] [author: ] [Date: 12-05-13] [Hit: ]
(Using maple I got the answer to be 2.0109 and -2.......
I've done part a) but need help with part b) please

a) Use Simpson's Rule with five ordinates to find an approx value for the integral between 2 and 1 of
ln(3+2x²) dx.

The answer is 1.6607

how do I now do part b)
Use your answer to part (a) to deduce and approx value for the integral between 2 and 1 of
ln(1/3+2x²) dx.

Thanks a lot in advance

-
I assume by ln(1/3+2x²) you mean (ln(1/(3+2x²))

Think log laws,

ln(1 / (3+2x^2)) can be written as ln( (3+2x^2) ^-1 )

ln(a^b) = bln(a)

so it equals - ln(3+2x^2)

Which would equal -1.6607

(Using maple I got the answer to be 2.0109 and -2.0109)
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