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Math Help - Another Fundamental Theorem of Calculus problem

  1. #1
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    Another Fundamental Theorem of Calculus problem

    Does anyone know how to start or do this problem. I don't have an example in my book of it.

    \int_{-8}^ {6} f(x)= 2+e^x
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    Quote Originally Posted by McDiesel View Post
    Does anyone know how to start or do this problem. I don't have an example in my book of it.
    Quote Originally Posted by McDiesel View Post
    \int_{-8}^ {6} f(x)= 2+e^x
    That is a nonsense problem. That is, it show the confusion of whom so ever wrote it
    \int_{-8}^ {6} f(x) is a definite integral, a number!
    Whereas 2+e^x is a function of x.

    Are you sure that you have given all the information?
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  3. #3
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    I'm sorry,

    Use a definite integral to find the area between f(x)= 2+e^x and the x-axis over the integral [-8,6]
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  4. #4
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    Quote Originally Posted by McDiesel View Post
    I'm sorry,

    Use a definite integral to find the area between f(x)= 2+e^x and the x-axis over the integral [-8,6]
    This is very simple since \forall{x}\in\mathbb{R}~2+e^x>0

    So \text{Area}=\int_{-8}^{6}2+e^xdx
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