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Math Help - area under the curve

  1. #1
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    area under the curve

    Would someone please show me an example of a problem step by step for area undere the curve. I skipped this section and did the home work for definite and indefinite integrals but the book does not do a good job of explaining this. I am sure missing the class on this section did not help either.
    I would appreciate any examples and explainations.
    Thank You,
    Keith
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by keith View Post
    Would someone please show me an example of a problem step by step for area undere the curve. I skipped this section and did the home work for definite and indefinite integrals but the book does not do a good job of explaining this. I am sure missing the class on this section did not help either.
    I would appreciate any examples and explainations.
    Thank You,
    Keith
    why not give us an example to work through?
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  3. #3
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    example of area under the curve

    Estimate the area under the graph of F(x) = 4x^2 + 4x + 4 from x=5 to x=8.
    Using approximating rectangles and right endpoints.
    R3 = ?
    Using 3 approximating rectangles and left endpoints.
    L3 = ?
    Thank You,
    Keith
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  4. #4
    Math Engineering Student
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    \int_5^8f(x)\,dx=\int_5^8(4x^2+4x+4)\,dx

    Does that make sense?

    I dunno if you can handle it with integrals.
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