Anti Derivative of a fraction

[mathdum]

Find the area of the region under the graph of the function f on the interval [5, 10].
F(x) = 9/x

 

[JG89]

When you say that F(x) = 9/x, do you mean that F'(x) = f(x) where f(x) is the function whose area under its curve you want to calculate? Or did you mistakenly capitalize "f"?

 

[mathdum]

Well, my problem just says F(x). Other problems have F'(x), However, this one does not. Hmm...

 

[ImAnEngineer]

Well, my problem just says F(x). Other problems have F'(x), However, this one does not. Hmm...

Usually capitalized notation means that it is the anti-derivative. This means you should evaluate F from the given bounds. Do you know how to do this?

 

[mathman]

Find the area of the region under the graph of the function f on the interval [5, 10].
F(x) = 9/x

Try to be precise in the relationship between F(x) and f(x).

 

[cragar]

9ln|x| + c