Estimate the area of the plane region bounded by the graph of f(x) = e^x, the x-axis, and the vertical lines x = 0 and x = 8 using the trapezoidal method with trapezoids of equal width. Round your answer to 4 decimal places.

I got the answer 6892.7480 but it was incorrect and I do not know what I did wrong. How do I find n?

the answer will depend on the number of trapezoids.

A handy calculator is found at the URL below. You can compare your steps with those found there

http://www.emathhelp.net/calculators/calculus-2/trapezoidal-rule-calculator/

There are others as well.

To apply the trapezoidal method, you need to divide the region into a series of trapezoids by drawing vertical lines from x = 0 to x = 8. The width of each trapezoid will be the same so that we have equal intervals.

To find the value of n, which represents the number of trapezoids or intervals, you can use the formula:

n = (b - a) / h

Where:
- n is the number of intervals or trapezoids
- b is the upper limit or the value of x at which the region is bounded (in this case, b = 8)
- a is the lower limit or the value of x at which the region starts (in this case, a = 0)
- h is the width of each trapezoid (or the interval) which is equal to (b - a) / n

In this case, we already know that a = 0 and b = 8. Now we need to find h.

To find h, rearrange the formula for h to solve for it:

h = (b - a) / n

Substitute the known values:

h = (8 - 0) / n
h = 8 / n

Now, to find n, we need to solve for it using the formula:

n = (b - a) / h

Substitute the value of h:

n = (8 - 0) / (8 / n)
n = 8n / 8
n = n

As you can see, n can have any value because it cancels out from both sides of the equation. This means that the number of trapezoids or intervals n is not determined by this equation alone.

Therefore, there might be an error in your calculations or approach to the trapezoidal method. Double-check your work and make sure you correctly calculated the area of each trapezoid and added them up properly.