Question

integration of fractional part of x

Answer 1

Given:

The fractional part of x

To find:

Integration of fractional part of x

Solution:

From given, we have the data as follows.

The fractional part of x

The mathematical representation of the same is, 1/x

So, we are supposed to find the integration of 1/x

Thus, the calculation is as follows.

∫ (1/x) dx

= log x + c

where c is a constant.

∴ ∫ (1/x) dx = log x + c