e311k

# e311k - Exam III Aug 2, 2011 MAC 2312 S Hudson Remember...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Exam III Aug 2, 2011 MAC 2312 S Hudson Remember that some integrals may be improper, and that some could benefit from a u substitution (or some algebra) before applying fancier methods. When in doubt, u = e x or u = x 2 is often a good try. 1) (10pts each) Compute the integrals: a) R x 3 e x 2 dx b) R tan 5 sec d c) R e 3 x dx e 2 x +1 2) (5pts each) Compute the integral (or show that it diverges): a) R +1- 1 dx x 2 = b) R + e- x dx x = 3) (10 pts) Start on this by showing the partial fraction splitting, with A , B etc. But you dont have to compute these constants or get an antiderivative; R 2 x- 3 x 3- x 2 = 4) [10 pts] Approximate R +1- 1 e- x 2 dx by S 4 (Simpsons Rule with n = 4). You can use any of the following data from my calculator that you need. Dont leave any variables in your answer, but a few plus signs and fractions are OK. e 1 = 2 . 7 e 1 / 2 = 1 . 6 e 1 / 4 = 1 . 3 e 1 / 16 = 1 . 06 e- 1 = 0 . 37 e- 1 / 2 = 0 . 61 e- 1 / 4 = 0 . 78 e- 1 / 16...
View Full Document

## This note was uploaded on 12/26/2011 for the course MAC 2312 taught by Professor Storfer during the Summer '08 term at FIU.

### Page1 / 3

e311k - Exam III Aug 2, 2011 MAC 2312 S Hudson Remember...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online