I see the intent in setting up the integral as ##u*du## and anti-deriving to ##2u## but I don't see how ##du## could possibly equal ##1/x*dx## the derivative of ##\ln x## is ##(1/x)(d/dx*x)## which leaves us with ##u*du*dx## right?
I also updated the errors in my original post. Thanks for...
Homework Statement
Evaluate the integrals
a) y=
b) y=
Homework Equations
The Attempt at a Solution
I've tried using the Reciprocal Rule and substitution of each ln function with u to get a workable result, but haven't come anywhere near a recognizable solution. The answers...
Yup, that was it. I failed to reverse distribute properly.
That should fix all the math that comes after this equation, but it'll take me a couple of days to work my way back through it all again. Its always the fast simple math that messes me up over a long process.
Thanks guys!
I have an equation that I've been trying to solve. I manipulated it until I had a=f(d) and then did by best to put it into a format the computer recognizes. However when I went back to check the results against the unsimplified version of the equation, they didn't work out as they should have...
Ive been thinking about it and theoretically what I was doing should have produced a workable result which tells me I possibly messed up at 3 points:
1) there is no solution to the first equation over my workable range (0,0.06725)
2) I messed up constructing the equation on paper (algebraic...
And this isn't a math problem from a book or anything like that, I structured it that way because its what I am comfortable solving.
Though if you think it might be better served in the Math area of the forum let me know.
I have an application involving a spring and in order to get the proper behavior, I need to solve the problem below. I've been at it for weeks and haven't been able to solve it - which tells me its time to appeal to my mathematical betters.
Given a spring that exerts 36.6lbs of force(N) while...