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







share|cite|improve this question























  • 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















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







share|cite|improve this question























  • 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













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







share|cite|improve this question















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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




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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

















  • 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
















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