The Antiderivative of 1/x: How to Find It Using Logarithmic Functions

Antiderivative of 1/x

The antiderivative of 1/x can be found by using the integral rules for logarithmic functions

The antiderivative of 1/x can be found by using the integral rules for logarithmic functions.

We know that the derivative of ln(x) with respect to x is 1/x. Therefore, the antiderivative of 1/x is ln(x) plus a constant of integration (C).

So, the antiderivative of 1/x is ln(x) + C.

To verify this, we can take the derivative of ln(x) + C with respect to x and see that it indeed equals 1/x:

d/dx (ln(x) + C) = 1/x

Therefore, ln(x) + C is the correct antiderivative for 1/x.

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