Question

I am doing integrals and problems that include displacement and distance, i know that i have to find were the x is so i can split my intervals. How would i find the x in this t^2-t-8, intervals (1,6)

Answer 1

The intersection? Is that what you mean by x?

Answer 2

the x intercept

Answer 3

i think you are mixing variables...
t^2 - 7t-8
has a "t" as a variable...
would you agree?
what you are posting in your problem should look like this:
\[\int\limits_{1 }^{6}(t ^{2}-t-8)dt=....\]