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