Homework Statement
integral of (16x-2x^2-23)^1/2 dx
Homework Equations
The Attempt at a Solution
First off it seems clear that I must complete the square within the radical.
This gives ((x-4)^2-4.5)^1/2
From there I seem to be lost, fumbling through my book for any kind of...
I apologize, that was a careless mistake.
I'll post my solution if it's of any help to anyone...
the numerator becomes 2(sec^2(x)tan^2(x) + sec^2(x)),
which of course goes to 2 when pushed to 0
leaving 2/-8, or -1/4
Thank you so much!
You are correct and this does give me a non 0/0 answer but the answer is wrong according to the book. It should be -1/4.
My next derivative is:
(2*(2sec^2(x)tan(x))*tan(x))/(-8cos(2x))
In simpler terms
(4sec^2(x)tan^2(x))/(-8cos(2x))
The numerator becomes 0 with the limit and the...
Homework Statement
lim as x->0 (tan(x)-x)/(sin2x-2x)
Homework Equations
L'Hopitals rule states that if the limit reaches 0/0, you can take the derivative of the top and the bottom until you get the real limit.
The Attempt at a Solution
(sec^2(x)-1)/(2cos2x-2) still 0/0...