Question

State whether the following statement is true or false: 

`int log x  dx = x log x + x + c`

Answer 1

This statement is false.

Explanation:

The given integral is: `int log x  dx`

Using integration by parts, the correct result is: `int log x  dx = x log x - x+ C`

The given statement: `int log x  dx = x log x + x+ C` is incorrect because of the extra + instead of − before x.