Test3s - MATH 1501 Test 3 November 9, 2009 No books or...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 1501 Test 3 November 9, 2009 No books or notes allowed. No laptop, graphic calculator or wireless devices allowed. Write clearly. Show your work and justify your answers. Remember to add your name to every page. Name: Question: 1 2 3 4 Total Points: 26 25 24 25 100 Score:
Background image of page 1

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

View Full DocumentRight Arrow Icon
MATH 1501 Test 3 November 9, 2009 1. Evaluate the following definite integrals. (a) (13 points) Z 1 0 ( x + 2) 2 - 4 x dx Solution: Z 1 0 ( x + 2) 2 - 4 x dx = Z 1 0 x 2 + 4 x x dx = Z 1 0 ( x + 4) dx = 1 2 + 4 (b) (13 points) Z 1 0 ( x + 1) 2 p 3 + ( x + 1) 3 dx Solution: Calling u = 3 + ( x + 1) 3 we get du = 3( x + 1) 2 dx . Thus Z 1 0 ( x + 1) 2 p 3 + ( x + 1) 3 dx = 1 3 Z 11 4 udu = 2 9 u 3 2 11 4 = 2 9 (11 11 - 8) Name: Page 1 of 4
Background image of page 2
MATH 1501 Test 3 November 9, 2009 2. Evaluate the following indefinite integrals. (a) (13 points) Z sin( x ) cos( x ) ( cos 2 ( x ) - sin 2 ( x ) ) dx Solution: Z sin( x ) cos( x ) ( cos 2 ( x ) - sin 2 ( x ) ) dx = 1 2 Z sin(2 x ) cos(2 x ) dx = 1 8 sin 2 (2 x )+ C Alternatively call
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/23/2010 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.

Page1 / 5

Test3s - MATH 1501 Test 3 November 9, 2009 No books or...

This preview shows document pages 1 - 4. Sign up to view the full document.

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