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  1. #1
    ali_dd is offline Member
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    without

    Is the use of "without" in the following sentence correct grammatically and conceptually? If it is not , kindly suggest ways to make it clearer.

    Figs. 15-19 are produced without using of integral.

  2. #2
    Tarheel's Avatar
    Tarheel is offline VIP Member
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    Re: without

    Perhaps:

    Figures 15 to 19 were produced without the use of integral __________.

  3. #3
    GoesStation is online now Moderator
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    Re: without

    Write without using an integral.
    I am not a teacher.

  4. #4
    Tarheel's Avatar
    Tarheel is offline VIP Member
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    Re: without

    I looked up integral, and sure enough it can be used as a noun (in advanced mathematics).

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