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anonymous

  • 5 years ago

you are given four points in the plane A=(6,-6), B=(11,5), C=(16,-5) and D=(20,8). The graph of the function f(x) consist of three line segments AB, BC, CD find the integral [20,6]f(x)dx by using rule for integrals and interpreting the integral in terms of sums and/or differences of areas of elementary figures.

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  1. anonymous
    • 5 years ago
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    so you just have to find the area under each individual lines and sum it up.

  2. anonymous
    • 5 years ago
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    use f(x) = mx+b substitute points A and B to find the equation of line AB, substitute points B and C to find the equation of line BC and substitute points C and D to find equation of line CD

  3. anonymous
    • 5 years ago
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    I actual missed this lecture cause i was ill so i read the book and still dont understand how exactly to do this i know that i find slope, then that some how will give me base and height to find out the area

  4. anonymous
    • 5 years ago
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    each point is a set of [ f(x) , x ]

  5. anonymous
    • 5 years ago
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    well. I gtg now lemme know if this works out otherwise I will post a full solution later.

  6. anonymous
    • 5 years ago
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    really confused i go AB=(11/5)x+5 BC=(-5/3)x-(40/3) and CD=(13/4)x+47

  7. anonymous
    • 5 years ago
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    I'm afraid I'm not going to be much help here. I need to brush up on my surface integrals.

  8. anonymous
    • 5 years ago
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    oh ok

  9. anonymous
    • 5 years ago
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    That was last year ;)

  10. anonymous
    • 5 years ago
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    Now it's all about vector spaces.

  11. anonymous
    • 5 years ago
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    oh ok lol

  12. anonymous
    • 5 years ago
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    \[\int\limits_{2}^{8}4xdx\] can you help with this one

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