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Discover Ludwig"integrate from" is not correct or usable in written English.
Instead, you can use the phrase "integrate with" which means to connect or combine with another system or element to form a single, unified whole. For example: We need to integrate our customer database with our new point-of-sale software.
Exact(21)
To get the total specific rate of infection at the time t, we integrate from 0 to t, to arrive at the integral expression which we shall denote by G: G= int_{0}^{t}alpha e^{-gamma t-tau)} I(x,tau),d tau.
If then integrate from to, (2.21).
and then integrate from to to obtain (2.6).
Once again integrate from to to obtain (2.49).
Multiply (3.2) by u' and integrate from x0 to x1, then we get the desired result.
Multiply both sides of (1.1) by, and then integrate from 0 to to obtain (2.6).
Similar(39)
Integrating from to, (3.18).
Integrating from to leads to (2.41).
Integrating from to, we get (3.8).
Integrating from 0 to, we obtain (2.31).
Now by integrating from to, we have (2.15).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com