Calculate the double integral. [closed]












-1












$begingroup$


First of all I would like to ask you if you know a very good material that could help me with range of integration.



$$int_{-1}^ {1} int_{0}^{x+2}y,dy,dx$$



How do I solve this question?










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closed as off-topic by Saad, Nosrati, RRL, Eric Wofsey, Leucippus Dec 22 '18 at 7:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Nosrati, RRL, Eric Wofsey, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Is it $$int_{-1}^1int_0^{x+2}y~dydx~~?$$
    $endgroup$
    – Dave
    Dec 11 '18 at 0:36








  • 2




    $begingroup$
    tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx This is a good start may be for double integrals.
    $endgroup$
    – mm-crj
    Dec 11 '18 at 0:39


















-1












$begingroup$


First of all I would like to ask you if you know a very good material that could help me with range of integration.



$$int_{-1}^ {1} int_{0}^{x+2}y,dy,dx$$



How do I solve this question?










share|cite|improve this question











$endgroup$



closed as off-topic by Saad, Nosrati, RRL, Eric Wofsey, Leucippus Dec 22 '18 at 7:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Nosrati, RRL, Eric Wofsey, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Is it $$int_{-1}^1int_0^{x+2}y~dydx~~?$$
    $endgroup$
    – Dave
    Dec 11 '18 at 0:36








  • 2




    $begingroup$
    tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx This is a good start may be for double integrals.
    $endgroup$
    – mm-crj
    Dec 11 '18 at 0:39
















-1












-1








-1





$begingroup$


First of all I would like to ask you if you know a very good material that could help me with range of integration.



$$int_{-1}^ {1} int_{0}^{x+2}y,dy,dx$$



How do I solve this question?










share|cite|improve this question











$endgroup$




First of all I would like to ask you if you know a very good material that could help me with range of integration.



$$int_{-1}^ {1} int_{0}^{x+2}y,dy,dx$$



How do I solve this question?







integration






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 11 '18 at 3:47









Key Flex

8,58261233




8,58261233










asked Dec 11 '18 at 0:32









user2860452user2860452

588




588




closed as off-topic by Saad, Nosrati, RRL, Eric Wofsey, Leucippus Dec 22 '18 at 7:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Nosrati, RRL, Eric Wofsey, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by Saad, Nosrati, RRL, Eric Wofsey, Leucippus Dec 22 '18 at 7:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Nosrati, RRL, Eric Wofsey, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.












  • $begingroup$
    Is it $$int_{-1}^1int_0^{x+2}y~dydx~~?$$
    $endgroup$
    – Dave
    Dec 11 '18 at 0:36








  • 2




    $begingroup$
    tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx This is a good start may be for double integrals.
    $endgroup$
    – mm-crj
    Dec 11 '18 at 0:39




















  • $begingroup$
    Is it $$int_{-1}^1int_0^{x+2}y~dydx~~?$$
    $endgroup$
    – Dave
    Dec 11 '18 at 0:36








  • 2




    $begingroup$
    tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx This is a good start may be for double integrals.
    $endgroup$
    – mm-crj
    Dec 11 '18 at 0:39


















$begingroup$
Is it $$int_{-1}^1int_0^{x+2}y~dydx~~?$$
$endgroup$
– Dave
Dec 11 '18 at 0:36






$begingroup$
Is it $$int_{-1}^1int_0^{x+2}y~dydx~~?$$
$endgroup$
– Dave
Dec 11 '18 at 0:36






2




2




$begingroup$
tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx This is a good start may be for double integrals.
$endgroup$
– mm-crj
Dec 11 '18 at 0:39






$begingroup$
tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx This is a good start may be for double integrals.
$endgroup$
– mm-crj
Dec 11 '18 at 0:39












1 Answer
1






active

oldest

votes


















3












$begingroup$

The given bounds for $x$ are from $-1$ to $1$ and the given bounds for $y$ are from $0$ to $x+2$
$$int_{-1}^1int_0^{x+2} y dy dx$$



Now first take the inner integral $$int_0^{x+2} y dy=dfrac{(x+2)^2}{2}$$



Now we get $$int_{-1}^1dfrac{(x+2)^2}{2} dx=dfrac{13}{3}$$






share|cite|improve this answer









$endgroup$




















    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    3












    $begingroup$

    The given bounds for $x$ are from $-1$ to $1$ and the given bounds for $y$ are from $0$ to $x+2$
    $$int_{-1}^1int_0^{x+2} y dy dx$$



    Now first take the inner integral $$int_0^{x+2} y dy=dfrac{(x+2)^2}{2}$$



    Now we get $$int_{-1}^1dfrac{(x+2)^2}{2} dx=dfrac{13}{3}$$






    share|cite|improve this answer









    $endgroup$


















      3












      $begingroup$

      The given bounds for $x$ are from $-1$ to $1$ and the given bounds for $y$ are from $0$ to $x+2$
      $$int_{-1}^1int_0^{x+2} y dy dx$$



      Now first take the inner integral $$int_0^{x+2} y dy=dfrac{(x+2)^2}{2}$$



      Now we get $$int_{-1}^1dfrac{(x+2)^2}{2} dx=dfrac{13}{3}$$






      share|cite|improve this answer









      $endgroup$
















        3












        3








        3





        $begingroup$

        The given bounds for $x$ are from $-1$ to $1$ and the given bounds for $y$ are from $0$ to $x+2$
        $$int_{-1}^1int_0^{x+2} y dy dx$$



        Now first take the inner integral $$int_0^{x+2} y dy=dfrac{(x+2)^2}{2}$$



        Now we get $$int_{-1}^1dfrac{(x+2)^2}{2} dx=dfrac{13}{3}$$






        share|cite|improve this answer









        $endgroup$



        The given bounds for $x$ are from $-1$ to $1$ and the given bounds for $y$ are from $0$ to $x+2$
        $$int_{-1}^1int_0^{x+2} y dy dx$$



        Now first take the inner integral $$int_0^{x+2} y dy=dfrac{(x+2)^2}{2}$$



        Now we get $$int_{-1}^1dfrac{(x+2)^2}{2} dx=dfrac{13}{3}$$







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 11 '18 at 0:36









        Key FlexKey Flex

        8,58261233




        8,58261233















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