- #1

starstruck_

- 184

- 8

## Homework Statement

find:

∫13e^(1/x)

upper bound: 2

lower bound: 1

using the trapezoidal rule and midpoint rules

estimate the errors in approximation

## Homework Equations

I've done the approximations using the trapezoidal rule and midpoint rule, but I can't figure out how to calculate the error.

this is the formula:

**∫f(x)dx = approximation + error**

3. The Attempt at a Solution

3. The Attempt at a Solution

I need to rearrange the formula to solve for the error so:

error = ∫f(x)dx- approximation

the only problem is, i have no idea how to find the integral of ∫13e^(1/x)

this is as far as i can get : 13∫e^(1/x)dx

let u = 1/x

du = -x^-2 dx where x=/= 0

uh not really sure how to work with that once I plug everything in- I don't think I've seen something like this before :/