151reviewfSp09

151reviewfSp09 - Math 151, Spring 2009, Review Problems for...

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

View Full Document Right Arrow Icon
Math 151, Spring 2009, Review Problems for Final Exam This review sheet emphasizes the material covered after Exam 2. You SHOULD also study the problems in the review sheets for the first and second exam. 1. Evaluate the following integrals: (a) Z x 2 4 x + 3 dx (b) Z e - x 1 + e - 2 x dx (c) Z (10 x + 3) 20 dx (d) Z 1 x (ln( x )) 2 dx (e) Z x ( x 4 + 1) dx 2. Evaluate the following integrals: (a) Z 2 - 3 | x 2 + x - 2 | dx (b) Z ln(2) 0 e x e x + 2 dx (c) Z π 4 0 ( tan 3 ( x ) + tan( x ) ) dx (d) Z 2 1 x + 6 x dx 3. Assume f ( x ) is a continuous function on [4 , 7] with the property Z 2 1 f (3 x + 1) dx = 9. Find Z 7 4 f ( x ) dx . 4. Let f ( x ) = ± 4 x + 3 , x < 2 x 3 + x + 1 , x 2 . Find Z 3 0 f ( x ) dx . 5. Evaluate the following derivatives: (a) d dx ² e 2 x ln(4 x ) x + sin - 1 ( x ) ³ (b) d dx tan - 1 ( x + 3 x ) (c) d dx Z x 0 e - t 2 dt (d) d dx Z x - x 1 t 4 + 1 dt (e) d dx p sec( x 2 ) + x 2 + 1 6. Evaluate N X j =0 (3 j + 1) 2 = 1 2 + 4 2 + 7 2 + ··· + (3 N + 1) 2 . 7. Find the left endpoint, midpoint, and right endpoint approximations,
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

151reviewfSp09 - Math 151, Spring 2009, Review Problems for...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online