Integrating using Simpson's Rule
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Suppose there are functions
$$ g(x) = frac(2 cdot lfloor xrfloor)(3cdot x - lfloor x rfloor) tag1$$
and
$$ f(x) =fracmid g(x)mid g(x) tag2 $$
Now how do we do the definite integral of $f(x)$ with limits $-10$ to $0$ using Simpson's rule.
Simpson's Rule states that integral of $f(x)$ limited from $a$ to $b$ is approx equal to
$$ fracb-a6 cdot left[f(b) + 4 cdot fleft(fraca+b2right) + f(a) right] tag3$$
Putting $ f(0)$ returns an indeterminant value in the form of $0/0$ which cannot be used to carry out further Calculations. Hence what are we supposed to do in such a scenario?
definite-integrals simpsons-rule
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up vote
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Suppose there are functions
$$ g(x) = frac(2 cdot lfloor xrfloor)(3cdot x - lfloor x rfloor) tag1$$
and
$$ f(x) =fracmid g(x)mid g(x) tag2 $$
Now how do we do the definite integral of $f(x)$ with limits $-10$ to $0$ using Simpson's rule.
Simpson's Rule states that integral of $f(x)$ limited from $a$ to $b$ is approx equal to
$$ fracb-a6 cdot left[f(b) + 4 cdot fleft(fraca+b2right) + f(a) right] tag3$$
Putting $ f(0)$ returns an indeterminant value in the form of $0/0$ which cannot be used to carry out further Calculations. Hence what are we supposed to do in such a scenario?
definite-integrals simpsons-rule
hi .. what have you done so far ?
– Ahmad Bazzi
Sep 11 at 4:28
In the part in Simpson's rule where you have to calculate f(upper limit), I am getting problem as putting 0 in the function returns an indeterminant value
– Jagreet
Sep 11 at 4:30
Do you think you can edit your question to show more precisely what you mean ?
– Ahmad Bazzi
Sep 11 at 4:38
Question edited
– Jagreet
Sep 11 at 4:43
Please format your equations with MathJax.
– paulplusx
Sep 11 at 5:23
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Suppose there are functions
$$ g(x) = frac(2 cdot lfloor xrfloor)(3cdot x - lfloor x rfloor) tag1$$
and
$$ f(x) =fracmid g(x)mid g(x) tag2 $$
Now how do we do the definite integral of $f(x)$ with limits $-10$ to $0$ using Simpson's rule.
Simpson's Rule states that integral of $f(x)$ limited from $a$ to $b$ is approx equal to
$$ fracb-a6 cdot left[f(b) + 4 cdot fleft(fraca+b2right) + f(a) right] tag3$$
Putting $ f(0)$ returns an indeterminant value in the form of $0/0$ which cannot be used to carry out further Calculations. Hence what are we supposed to do in such a scenario?
definite-integrals simpsons-rule
Suppose there are functions
$$ g(x) = frac(2 cdot lfloor xrfloor)(3cdot x - lfloor x rfloor) tag1$$
and
$$ f(x) =fracmid g(x)mid g(x) tag2 $$
Now how do we do the definite integral of $f(x)$ with limits $-10$ to $0$ using Simpson's rule.
Simpson's Rule states that integral of $f(x)$ limited from $a$ to $b$ is approx equal to
$$ fracb-a6 cdot left[f(b) + 4 cdot fleft(fraca+b2right) + f(a) right] tag3$$
Putting $ f(0)$ returns an indeterminant value in the form of $0/0$ which cannot be used to carry out further Calculations. Hence what are we supposed to do in such a scenario?
definite-integrals simpsons-rule
definite-integrals simpsons-rule
edited Sep 11 at 7:20
José Carlos Santos
136k17109199
136k17109199
asked Sep 11 at 4:27
Jagreet
123
123
hi .. what have you done so far ?
– Ahmad Bazzi
Sep 11 at 4:28
In the part in Simpson's rule where you have to calculate f(upper limit), I am getting problem as putting 0 in the function returns an indeterminant value
– Jagreet
Sep 11 at 4:30
Do you think you can edit your question to show more precisely what you mean ?
– Ahmad Bazzi
Sep 11 at 4:38
Question edited
– Jagreet
Sep 11 at 4:43
Please format your equations with MathJax.
– paulplusx
Sep 11 at 5:23
add a comment |
hi .. what have you done so far ?
– Ahmad Bazzi
Sep 11 at 4:28
In the part in Simpson's rule where you have to calculate f(upper limit), I am getting problem as putting 0 in the function returns an indeterminant value
– Jagreet
Sep 11 at 4:30
Do you think you can edit your question to show more precisely what you mean ?
– Ahmad Bazzi
Sep 11 at 4:38
Question edited
– Jagreet
Sep 11 at 4:43
Please format your equations with MathJax.
– paulplusx
Sep 11 at 5:23
hi .. what have you done so far ?
– Ahmad Bazzi
Sep 11 at 4:28
hi .. what have you done so far ?
– Ahmad Bazzi
Sep 11 at 4:28
In the part in Simpson's rule where you have to calculate f(upper limit), I am getting problem as putting 0 in the function returns an indeterminant value
– Jagreet
Sep 11 at 4:30
In the part in Simpson's rule where you have to calculate f(upper limit), I am getting problem as putting 0 in the function returns an indeterminant value
– Jagreet
Sep 11 at 4:30
Do you think you can edit your question to show more precisely what you mean ?
– Ahmad Bazzi
Sep 11 at 4:38
Do you think you can edit your question to show more precisely what you mean ?
– Ahmad Bazzi
Sep 11 at 4:38
Question edited
– Jagreet
Sep 11 at 4:43
Question edited
– Jagreet
Sep 11 at 4:43
Please format your equations with MathJax.
– paulplusx
Sep 11 at 5:23
Please format your equations with MathJax.
– paulplusx
Sep 11 at 5:23
add a comment |
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hi .. what have you done so far ?
– Ahmad Bazzi
Sep 11 at 4:28
In the part in Simpson's rule where you have to calculate f(upper limit), I am getting problem as putting 0 in the function returns an indeterminant value
– Jagreet
Sep 11 at 4:30
Do you think you can edit your question to show more precisely what you mean ?
– Ahmad Bazzi
Sep 11 at 4:38
Question edited
– Jagreet
Sep 11 at 4:43
Please format your equations with MathJax.
– paulplusx
Sep 11 at 5:23