What type of Problem is this when I have to determine the integrand in a definite integral?

[Al-Layth]

[math]\int_{0}^{10}f(x)=45[/math]
(I just put some random numbers in the limits and evaluation) but I come across these problems some times and I dont know what they are or how to deal with them

help is appreciated

thx

 

[Dr.Peterson]

[math]\int_{0}^{10}f(x)=45[/math]
(I just put some random numbers in the limits and evaluation) but I come across these problems some times and I dont know what they are or how to deal with them

help is appreciated

thx

With no additional information, it is impossible to solve this; there are infinitely many such functions. One, for example, is the constant function f(x) = 4.5.

Please show an actual problem of this type that you have seen, giving the entire problem word for word. Also, tell us the context, if there is any -- what topic is it associated with?

 

[Steven G]

[math]\int_{0}^{10}f(x)=45[/math]

If \(\displaystyle \int f(x)dx =F(x) + C\), then you can say that F(10)-F(0) =45.
As already pointed out, there are infinitely many functions F(x) that will have the desired result.

 

[Deleted member 4993]

[math]\int_{0}^{10}f(x)=45[/math]
(I just put some random numbers in the limits and evaluation) but I come across these problems some times and I dont know what they are or how to deal with them

help is appreciated

thx

I hope from the discussions above, you understood that the "random" problem you have posted does not have unique solution. Consequently, we cannot quite classify it (or name its genre) Thus, if you have an example-problem that you had solved - post it. That will give us an idea about its "name".

 

[pka]

[math]\int_{0}^{10}f(x)=45[/math](I just put some random numbers in the limits and evaluation) but I come across these problems some times and I dont know what they are or how to deal with them
help is appreciated

[imath]\displaystyle\int_0^{10} {4.5{\kern 1pt} dx} = ?[/imath]

 

[Otis]

[imath]\displaystyle\int_0^{10} {4.5{\kern 1pt} dx} = ?[/imath]

Dr. Peterson posted that example, yesterday.

[imath]\;[/imath]

 

[topsquark]

Dr. Peterson posted that example, yesterday.

[imath]\;[/imath]

(Sssshhh!! The scuttlebutt is that pka wants to see the corner. He's never been there before so he has to do something bad.)

-Dan