Mathematics → Subject Test → Integration of ln x

How to find Integration of ln x ?
We use Integration by parts to find the integration of ln x.

Example 1. Evaluate
Solution
Multiply 1 by ln x to make it product of functions, so that we could use Integration by Parts formula
Here,
Now using Integration by Parts formula
We have,
Answer

Example 2. Evaluate
Solution
NOTE: We always take ln as first function, so
Now here,
Now using Integration by Parts formula
We have,
Answer