Question

Find a formula for f(x) and the value of a

Answer 1

Given that \[3x^2-12 = \int\limits_{a}^{x}f(t)dt\]

Answer 2

I believe it's asking you to evaluate the function from x and a. and solve for a.

Answer 3

if \(f(t)=\frac{t}{6}\) then
\[\int_a^xf(t)dt=3x^2-3a^2\]

Answer 4

solve for \(a\) via \(3a^2=12\)

Answer 5

why set f(t) = t/6 ?