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Approximate the value of each of the given integrals by use of Simpson's rule, using the given values of $n$. Exercises $8-10$ are the same as Exercises $10-12$ of Section 25.5$$\int_{0}^{2.4} \frac{d x}{(4+\sqrt{x})^{3 / 2}}, n=8$$

Calculus 1 / AB

Chapter 25

Integration

Section 6

Simpson's Rule

Integrals

Oregon State University

University of Michigan - Ann Arbor

Boston College

Lectures

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Using the Trapezoidal Rule…

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In Exercises $1-10,$ use $…

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03:20

I first find the exact value off this integral, integral from zur. So deeds off Cuba's off x dx. This is just called. So Cuba's off exit exit exit E one of the three if I integrated, have one of the three most one divided by one of the three coast warn from zero through its if you plug this into the calculator. So you off, um three over four x to the forward three under in suits. AIDS Which is it called? So three over four 16 which is a call to solve. Well, he's intra preserved our rule in this case we have that end is 1/4 of its So my daughter Hex, which is a ghost o b minus stay over end by these aids My 80 that's it's over AIDS, which is across the warm. Then this gives them a X zero is zero x one of the zero plus one, which is one. My ex too will be one plus one, which is to my ex three will be three and so on expo before and then x seven, maybe 1/4 to 7 and then ex aides of you gods who it's So trump is it ever Records be minus a over. So end my B minus over end is one. Then develop. I'd sue. That's one of the two multiplied by my f of x zero is cube root of zero plus sue my f of x one of the Cubans of one close sue Cubans off too, plus two Cubans off three plus to Cuba to four plus two Most blood I. Q. Bert off five Lost soo wants Bye bye, Q broods off Seeks plus sue moments played by Cubans off seven plus than Cuba it off AIDS. We don't put it so the skim it off AIDS When blood isn't a cock a little, you have 11.7296 Why is this Simpsons rule in this case? We have B minus eight over three N, which is my B minus over and his Wome divided by three. That's one over 30 then f of x one. Kim birds off zero plus four children's off one close to Cuba It off Sue blows four Cubans off 30 Close Sue que brutal full them box of four again Cubans off five clothes. So Cuba it off six Clause four. Cuba it off seven and loss Cambridge off AIDS if you plug it into a complimentary off in everyone points 8632

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