Calculate the integral below the curve in the picture

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











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As shown in the figure, I want to solve the integral of several curves in the red range. The difficulty is that the value of the ordinate is not uniform. Is there any good solution for everyone?
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calculus integration numerical-methods approximate-integration




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    Try numerical integration.
    – Math Lover
    Jul 30 at 2:39






  • 1




    could you be more specific?
    – lwj
    Jul 30 at 7:14










  • Do you have a list of the data points in that range? Of course the more data points you have the better. If you have data points, I have a program that will give you a reasonable approximation.
    – heather
    Aug 2 at 18:10














up vote
-2
down vote

favorite












As shown in the figure, I want to solve the integral of several curves in the red range. The difficulty is that the value of the ordinate is not uniform. Is there any good solution for everyone?
See here




calculus integration numerical-methods approximate-integration




share|cite|improve this question

















  • 3




    Try numerical integration.
    – Math Lover
    Jul 30 at 2:39






  • 1




    could you be more specific?
    – lwj
    Jul 30 at 7:14










  • Do you have a list of the data points in that range? Of course the more data points you have the better. If you have data points, I have a program that will give you a reasonable approximation.
    – heather
    Aug 2 at 18:10












up vote
-2
down vote

favorite









up vote
-2
down vote

favorite











As shown in the figure, I want to solve the integral of several curves in the red range. The difficulty is that the value of the ordinate is not uniform. Is there any good solution for everyone?
See here




calculus integration numerical-methods approximate-integration




share|cite|improve this question













As shown in the figure, I want to solve the integral of several curves in the red range. The difficulty is that the value of the ordinate is not uniform. Is there any good solution for everyone?
See here





calculus integration numerical-methods approximate-integration





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 30 at 18:51









John Wayland Bales

12.8k21135




12.8k21135









asked Jul 30 at 2:17









lwj

1




1







  • 3




    Try numerical integration.
    – Math Lover
    Jul 30 at 2:39






  • 1




    could you be more specific?
    – lwj
    Jul 30 at 7:14










  • Do you have a list of the data points in that range? Of course the more data points you have the better. If you have data points, I have a program that will give you a reasonable approximation.
    – heather
    Aug 2 at 18:10












  • 3




    Try numerical integration.
    – Math Lover
    Jul 30 at 2:39






  • 1




    could you be more specific?
    – lwj
    Jul 30 at 7:14










  • Do you have a list of the data points in that range? Of course the more data points you have the better. If you have data points, I have a program that will give you a reasonable approximation.
    – heather
    Aug 2 at 18:10







3




3




Try numerical integration.
– Math Lover
Jul 30 at 2:39




Try numerical integration.
– Math Lover
Jul 30 at 2:39




1




1




could you be more specific?
– lwj
Jul 30 at 7:14




could you be more specific?
– lwj
Jul 30 at 7:14












Do you have a list of the data points in that range? Of course the more data points you have the better. If you have data points, I have a program that will give you a reasonable approximation.
– heather
Aug 2 at 18:10




Do you have a list of the data points in that range? Of course the more data points you have the better. If you have data points, I have a program that will give you a reasonable approximation.
– heather
Aug 2 at 18:10















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