Question

Approximate S10 of the definite integral f(x)=sqrt(4-x^3) on [-1,1]

Answer 1

Everything seems pretty straightforward with the exception of the S10 part

Answer 2

ditto @Hero. S10?

Answer 3

Your are suppose to use Simpsons rule to approximate the integral

Answer 4

ahhh

Answer 5

sorry for being unclear!

Answer 6

I'm not a big fan of Simpson Rule

Answer 7

I'm a fan of punching things into calculators

Answer 8

i agree :) but they need us to "know the concept"

Answer 9

It's just plugging in!! Seriously!

Answer 10

You have the equation somewhere on hand?

Answer 11

b = 1
a = -1

Answer 12

ok just to clarify then the number of subintervals n is 10 ?

Answer 13

yes I believe n = 10

Answer 14

so subinterval length would be 1/5? (1-(-1))/10

Answer 15

Oh S10 means no. of subintervals = 10

Answer 16

\[\Delta x = {b - a \over n }\]

Answer 17

1/3

Answer 18

thanks! i was just hoping there was a simpler trick than the simpsons rule haha guess not

Answer 19

\[1/3\left[ \sqrt(5) +4(\sqrt(4)+\sqrt(3) \right]\]

Answer 20

\[\int\limits_{a}^{b} f(x) dx \approx {\Delta x \over 3} [f(x _{0}) + 4 f (x_{1} ) + 2f(x_{2})... + 4f(x_{n-1}) + f(x_{n})]\]

Answer 21

nice formal definition @eyust707!...did you do that in this equation editor??

Answer 22

Yea I looked at patrickJMT from youtube to get the formula and used the editor to type it up.

Answer 23

For the life of me I can't figure out how to produce upright fractions in the editor.

Answer 24

patrick is the man...wish he'd do more examples at times, but overall very solid teacher.

Answer 25

For example try:
"slope= {x over y}"

Answer 26

over!!!! that's it?? lol

Answer 27

yes sir

Answer 28

nice. thanks man

Answer 29

and the brackets tell it how much goes "over" lol

Answer 30

although slope is y over x haha

Answer 31

haha...got it : )

Answer 32

oops

Answer 33

\[i n \over my head\]

Answer 34

hahahaaa

Answer 35

try out "space"

Answer 36

nice!!!!! all this time i was using the division button on my dang laptop!!

Answer 37

\[\space\]

Answer 38

lol...i'm going to use space in place of "smh" now!

Answer 39

It's not overtly disrespectful.

Answer 40

im confusedd?? lol

Answer 41

\[\space\]

Answer 42

\[I \space am \space confused \space \checkmark \]

Answer 43

see the "space"

Answer 44

lol

Answer 45

See in response to your "I'm confused" I sent a "blank" response instead of "SMH"

Answer 46

ohhhh hahaha

Answer 47

It's very underhanded

Answer 48

that other one is "checkmark"

Answer 49

got it \[\checkmark\]

Is there some sort of FAQ on here for all the symbols or should I just google search the code?

Answer 50

ya know ive never seen one on here about that but i bet somewhere on the net theres one

Answer 51

the equation editor automatically puts the \'s and [] for you so it makes it easy

Answer 52

check out Latex symbols

Answer 53

on google

Answer 54

Say what?

Answer 55

latex?

Answer 56

thats the code language the equation editor uses

Answer 57

\[\huge \clubsuit \]

Answer 58

"clubsuit" lol

Answer 59

\[\bigodot\bigodot\] OHHHHHHHHHHH

Answer 60

=D

Answer 61

This is pretty neat. More so nerdy...but neat too! : )

I'd say I greatly appreciate your insight man!!

Answer 62

I think they are more like:
\[\huge \bigcup \bigcup \]

Answer 63

Not my (dream) woman's.

Answer 64

jk...

Answer 65

Anyway, I'm getting off this thing for a while. Thanks again man! Take care

Answer 66

you too