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Thread: definite integral

  1. #1
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    definite integral

    In one of our revision papers the following problem has been given:

    integrate e^x/[1+x^2] within the limits 0 to 1.

    using integration by parts I tried.

    I am stuck.

    How to solve. Kindly help me.

    with warm regards

    Aranga
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  2. #2
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    Re: definite integral

    There is no closed form of familiar functions for this integral.
    Thanks from topsquark and arangu1508
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  3. #3
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    Re: definite integral

    Quote Originally Posted by arangu1508 View Post
    In one of our revision papers the following problem has been given:
    $\displaystyle\int_0^1 {\dfrac{{{e^x}}}{{1 + {x^2}}}dx}$

    using integration by parts I tried. I am stuck. How to solve. Kindly help me.
    To Aranga, as romsek has told you this integral has no elementary anti-derivative.
    Using numerical methods it has a solution, SEE HERE.

    However when I saw this was on a revision paper (a review paper for speakers of American English) I wondered if perhaps there had to be some mistake?
    For what course are you reviewing?
    Thanks from arangu1508 and topsquark
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  4. #4
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    Re: definite integral

    In India it is +2 means 12th grade or junior college level and it is a two mark question.

    Probabily there may be some mistake in the question itself.

    Revision paper means before going for the final (terminal) examination, there will be some tests conducted covering all the portions.

    I saw the link sent by you. Definitely it is not to our (junior college) level.

    Thanks

    Aranga
    Last edited by arangu1508; Jan 14th 2019 at 01:32 AM.
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