Integration Equation

[joe19]

So, should be a fairly short question, but I'm studying for the AP test currently for Calculus, and I just ran into the following question:
If [MATH]\int^5_2 f(x)dx=12[/MATH] and [MATH]\int^8_5 f(x)dx=4[/MATH], then all of the following must be true except:


I'm thinking it's the last one after applying some basic properties of integrals, but I wasn't taught the properties all that well so I'm a bit lost, any help would be appreciated!

 

[Steven G]

They all seem fine to me.

The 1st integral from x=2 to x=8 you agree equals 16. You based that on the fact that integral from x=2 to x=5 + integral from x=5 to x=8 equals integral from x=2 to x=8.

The last integral: It is the integral from x=2 to x=6 + integral from x=6 to x=8. This IS the same as the integral from x=2 to x=8!