Results 1 to 2 of 2

Math Help - "Integration", opposite of "Derivation"?

  1. #1
    Newbie petike's Avatar
    Joined
    Oct 2008
    Posts
    23

    Question "Integration", opposite of "Derivation"?

    Hi,
    I am new to integration (or integral) and something is not clear to me.
    At school they taught me that integral can express "the area under the curve" (of graph). That's clear to me.
    But they also taught me that integral is the opposite of derivative. And here's the problem.
    Can I understand it that if I differentiate some function and then integrate the new function, I'll get the original one?

    For example, let's differentiate this function:

    f(x) = 3x^4 + 2
    f'(x) = 12x^3

    So the integral of function:

    \int12x^3 =? \ 3x^4 + 2 \ \ \ ???


    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    differentiate these functions ...

    f(x) = 3x^4 + 95

    f(x) = 3x^4 - 1

    f(x) = 3x^4 + \pi

    f(x) = 3x^4 + 12.6

    f(x) = 3x^4 - 10^{100}

    so ... what does that tell you about \int 12x^3 \, dx ???
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: October 17th 2011, 02:50 PM
  2. Replies: 2
    Last Post: June 4th 2011, 12:11 PM
  3. Replies: 2
    Last Post: April 24th 2011, 07:01 AM
  4. Replies: 1
    Last Post: October 25th 2010, 04:45 AM
  5. Replies: 1
    Last Post: June 4th 2010, 10:26 PM

Search Tags


/mathhelpforum @mathhelpforum