Originally Posted by
habsfan Let f(x) be a continuous function defined on the interval [2, infinity) such that
f(4) = 10, |f(x)| < x^{9} + 6
and
∞
INT (f(x) e^(-x/2))dx = 6.
4
(integral from 4 to infinity of f(x) times e to the negative x over 2)
Determine the value of
∞
INT (f '(x) e^(-x/2))dx
4
So, it gives a value for the definite integral, as well as an x,y coordinate of the function itself and an equation that f(x) is less than...and it asks for the same definite integral with the derivative of f(x) replacing f(x).
Not quite sure where to start (or end for that matter!), if anyone could point me in the right direction (quickly) I would appreciate it!