3
$\begingroup$

Would appreciate it if someone would please help me solve this

$$\int y\;\ln y\, \mathbb dy$$

taking time to explain reason for each step taken.

Thanks in advance!

  • 8
    [Proceed by integration by parts](http://www.wolframalpha.com/input/?i=integrate+y*ln%28y%29+dy) Click show steps :)2011-07-10
  • 0
    Why is there a dot in the integral?2011-07-10
  • 5
    @Jack: some people write multiplication of $a$ with $b$ as a period: $a.\!b$ (it is very common in France).2011-07-10
  • 1
    @Theo: +1. I've never learned this before. Nice to know that.2011-07-10
  • 0
    This technique is also useful for integrating with inverse trigonometric functions.2011-07-10
  • 0
    No you don't necessarily need integration by parts, if you are aware of a simple formula. Please see my answer below.2011-07-10

4 Answers 4