Integration: Integrate the definite integral, (3x^-2 - 8x^-5) with limits 2 and 1

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I'm doing the OCR MEI AS Mathematics specification. Integration is part of Core 2 (C2). This is a question I'm stuck on for homework, which involves using negative and fractional indices in integration. Any help would be really appreciated!

Posted Thu 4th April, 2013 @ 16:33 by Gege

4 Answers

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I'm on AQA but hopefully my method is okay, and hopefully my integrating skills and general calculations are good!

It will integrate to-3x^-1+2x^-4

You then need put 2 and 1 into it, subtracting one from 2. If that makes sense. And I came out with the answer of -3/8 but I'm not sure if that's correct or not! I did do the workings out on paper and take a picture but I'm not sure how to put thatt on here for you with out putting it as a resource!

Answered Thu 4th April, 2013 @ 19:32 by Kate Westall
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http://getrevising.co.uk/resources/integration_question I've put it as a resource :) Don't trust me 100% with the answer though please as I don't know if it's correct or not! Hope it helps :D

Answered Thu 4th April, 2013 @ 19:44 by Kate Westall
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Thanks, this was really helpful! It was good to see it all laid out step-by-step... It looks so simple and straightforward now! The question is multiple choice and one of the answers was -3/8 so I think you're probably right :-)

Answered Fri 5th April, 2013 @ 14:56 by Gege
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Yay, glad I could help :D If you need help with any more, just say :)

Answered Fri 5th April, 2013 @ 16:30 by Kate Westall