Integral of cumulative age distribution curve

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SUMMARY

The discussion centers on integrating the function 2exp(1-x) with respect to x, which represents the cumulative number of cells in an exponentially growing culture as a function of cell age. The integration process involves a substitution where u = 1 - x, leading to the integral transformation -2∫e^u du. This method effectively simplifies the integration, allowing for a clear solution to the problem posed by the user, Dave.

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How do you integrate 2exp(1-x).dx?

The expression describes the cumulative number of cells as a function of cell age (0 newborn, 1 at division) in an exponentially growing culture.

Thanks for any help.

Dave
 
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dabeedo said:
How do you integrate 2exp(1-x).dx?

The expression describes the cumulative number of cells as a function of cell age (0 newborn, 1 at division) in an exponentially growing culture.

Thanks for any help.

Dave
Let u= 1- x so that du= - dx.
[tex]\int 2 e^{1-x} dx= -2\int e^u du[/tex]
 

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