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what is the relationship between lnx and 1/x?
Solution
The relation between ln x and (1/x) is explained in terms of definite and indefinte integrals.
Indefinite integral:
Int (1/x) dx + C = lnx +C.
Definite integral:
{Int (1/t) dt from t = 0 to t = x} = lnx.
Or in other words ln (x) is the area under the curve f(x) = ln(t) between the ordinates t= 0 to t =
x, which could be calculated by evaluation of the definite integral Int (1/t)dt from t = 0 to t =x.

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what is the relationship between lnx and 1xSolutionThe relat.pdf

  • 1. what is the relationship between lnx and 1/x? Solution The relation between ln x and (1/x) is explained in terms of definite and indefinte integrals. Indefinite integral: Int (1/x) dx + C = lnx +C. Definite integral: {Int (1/t) dt from t = 0 to t = x} = lnx. Or in other words ln (x) is the area under the curve f(x) = ln(t) between the ordinates t= 0 to t = x, which could be calculated by evaluation of the definite integral Int (1/t)dt from t = 0 to t =x.