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Math Help - Help With Limit Def of Anti Derivative

  1. #1
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    Help With Limit Def of Anti Derivative

    I never really understood these, please help



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  2. #2
    Super Member General's Avatar
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    Quote Originally Posted by rawkstar View Post
    I never really understood these, please help



    Do you know something called the Riemann Sum?
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  3. #3
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    Quote Originally Posted by rawkstar View Post
    I never really understood these, please help



    1) integral of 1/x^2 from x = 0 to x = 1. Draw a graph and draw the rectangles (n rectangles each of width 1/n) to see this.

    2) integral of sin(x) from x = 0 to x = pi. Draw a graph and draw the rectangles (n rectangles each of width pi/n) to see this.
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  4. #4
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    Quote Originally Posted by mr fantastic View Post
    1) integral of 1/x^2 from x = 0 to x = 1.
    good call, but with a nasty result.
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  5. #5
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    Quote Originally Posted by rawkstar View Post
    I never really understood these, please help



    1) \int_0^1x^2\,dx

    2) \int_0^1\sin{{\pi}x}\,dx
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  6. #6
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    Quote Originally Posted by mr fantastic View Post
    1) integral of 1/x^2 from x = 0 to x = 1. Draw a graph and draw the rectangles (n rectangles each of width 1/n) to see this.

    Mr F says: My mistake. It should be integral of x^2.

    2) integral of sin(x) from x = 0 to x = pi. Draw a graph and draw the rectangles (n rectangles each of width pi/n) to see this.
    ..
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