ATAR Notes: Forum
HSC Stuff => HSC Maths Stuff => HSC Subjects + Help => HSC Mathematics Advanced => Topic started by: BakerDad12 on May 01, 2020, 06:56:25 pm

Hey. I'm confused about a property of integrals. I've attached a picture below to demonstrate the type of question I am talking about. In that question, if you take the 1/2 out, you get a different answer to if you didn't because 1 and 1 cancel each other out. This isn't correct, so why can't you take the 1/2 out? What is the rule for this?

Hey. I'm confused about a property of integrals. I've attached a picture below to demonstrate the type of question I am talking about. In that question, if you take the 1/2 out, you get a different answer to if you didn't because 1 and 1 cancel each other out. This isn't correct, so why can't you take the 1/2 out? What is the rule for this?
It seems like you haven't attached any picture.

Whoops, sorry! It should be fixed now.

If you look closely, the term 1 is also part of the integration. So, yes, you can take out 1/2 but you need to make sure you take it out from the 1 as well...
Here's an alternative method:
Hope that helps! ;)