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Math Help - another definite integral

  1. #1
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    another definite integral

    <br /> <br />
\int_{1}^2 (6e^{3x}-1/x)\, dx<br />
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  2. #2
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    solution

    = 2*e^3x-ln(x) = 2e^6-ln(2)-2*e^3
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  3. #3
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    Quote Originally Posted by foodmmm View Post
    <br /> <br />
\int_{1}^2 (6e^{3x}-1/x)\, dx<br />
    You're integrating standard forms. Read this carefully (most of the formulae should be in your class notes or textbook): Table of Integrals
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  4. #4
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    ?

    what did you get as the final answer?

    2e^6 - ln(2) - 2e^3 ?
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  5. #5
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    Quote Originally Posted by foodmmm View Post
    what did you get as the final answer?

    2e^6 - ln(2) - 2e^3 ?
    Yes.
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  6. #6
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    there is no + c on the end?
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  7. #7
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    Quote Originally Posted by foodmmm View Post
    there is no + c on the end?
    It's a definite integral. There's only a '+ c on the end' when it's an indefininte integral.
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  8. #8
    MHF Contributor Calculus26's Avatar
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    no need for c

    If you add c (F(b)+c)-(F(a)+c) =F(b) -F(a) so c is omitted from definite integrals
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  9. #9
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    thanks

    thank you
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