So, earlier my girlfriend said "She is extremely tired trying to do math." I said in reply jokingly " zzzz- ZZZ = Sleep what is the value of bed?" Then I got this reply lol.

Apparently the value of bed is approximately 60. lol

The last part, evaluating the definite integral, is incorrect. If we let k=4*sqrt(2) and take
the limit as x approaches 0+ of (x3 - k)/(2x).

We can rewrite this as a sum of limits: lim (x3/2x) - k/2 * lim (1/x) (as x approaches 0+)

Hence this limit is 0 - infinity = -infinity

Now, completing the evaluation of the definite integral, B = (32 - Sqrt(2)) - (-infinity) = +infinity

Therefore the value of bed is infinite

scott1328 wrote:Therefore the value of bed is infinite

*nods*

i fell asleep.