Trapezoid rule @Calculus1

Question

Trapezoid rule   @Calculus1

anonymous · Answer

The second part

anonymous · Answer

So you need a sum of trapezoidal areas to equal 1.000?
And by n=10, that means the base has been divided into 10 $$\Delta x's$$?
I'm having a hard time seeing the upper limit of that integral. Is it e?

anonymous · Answer

upper is e and lower is 1. I'm supposed to find the value for n when the sum is equal to 1.000. The n=10 is for part a, which I already solved.

anonymous · Answer

ah, got it. I'll see what I can come up with. Just a sec...

anonymous · Answer

awesome, thanks in advance

anonymous · Answer

This is what I have so far: The sum of the trapezoidal areas = 
$$\sum_{1}^{n}(1/2)[f(x) + f(x+\Delta x)]\Delta x$$
Where $$\Delta x$$ = (e-1)/n

anonymous · Answer

I'm eating lunch at the moment, so this might take longer than usual...

anonymous · Answer

that's ok, I've got time. So far it makes sense.

anonymous · Answer

Looking like a bear analytically, I'd suggest trial and error to zero in on it. The sum is 1.002 for n=10 and is exactly =1 at $$\lim_{n \rightarrow \infty}$$, so perhaps try n=20 and see what happens.

anonymous · Answer

ok, thanks for the start