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kantalope

  • 4 years ago

amiright? integrate: ((e^(2x)) / e^x cant i treat that at ((e^(2x)) * e^(-x) which would just simplify to e^x???

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  1. kantalope
    • 4 years ago
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    and even I can integrate e^x

  2. kantalope
    • 4 years ago
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    hehe o please help...i'm dying here

  3. Avva
    • 4 years ago
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    yes , you are completely right because we subtract powers in division , and don't forget to write C (constant of integration) I often forget it :(

  4. TuringTest
    • 4 years ago
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    yes and yes

  5. kantalope
    • 4 years ago
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    yay me...that question has stumped me for a week

  6. TuringTest
    • 4 years ago
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    \[\int e^xdx=e^x+C\]\[\frac d{dx}e^x=e^x\]so those are pretty easy to remember ;)

  7. kantalope
    • 4 years ago
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    luckily no need for c the real question is does that converge or diverge and since e^x heads for infinity I can say diverge with more than my usual 50/50 chance of getting it right thanks all

  8. TuringTest
    • 4 years ago
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    if it's\[\int_{a}^{\infty}e^xdx\]or any integral over +/-infinity of e^x like that, yeah, it diverges

  9. TuringTest
    • 4 years ago
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    sorry, NOT if it's negative infinity

  10. TuringTest
    • 4 years ago
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    \[\int_{-\infty}^{a}e^xdx\]converges

  11. kantalope
    • 4 years ago
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    ah good point - i will keep an eye out for that on the test tomorrow...all of our practice questions have been positive though so that would be cruel

  12. TuringTest
    • 4 years ago
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    good luck!

  13. Avva
    • 4 years ago
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    good luck with your Exam :)

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