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September 25, 2021, 10:56:40 pm

Author Topic: Integration Problem  (Read 905 times)  Share 

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BakerDad12

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Integration Problem
« on: May 01, 2020, 06:56:25 pm »
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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?
« Last Edit: May 01, 2020, 09:26:42 pm by BakerDad12 »

Einstein_Reborn_97

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Re: Integration Problem
« Reply #1 on: May 01, 2020, 07:10:13 pm »
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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.
« Last Edit: May 01, 2020, 07:14:36 pm by Einstein_Reborn_97 »
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BakerDad12

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Re: Integration Problem
« Reply #2 on: May 01, 2020, 09:27:08 pm »
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Whoops, sorry! It should be fixed now.

Einstein_Reborn_97

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Re: Integration Problem
« Reply #3 on: May 01, 2020, 10:48:39 pm »
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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!  ;)
HSC 2020: Advanced English | Advanced Mathematics | Physics | Chemistry | Biology | Studies of Religion 2

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