Short2b - 5(10 pts Determine iF each oF the Following is convergent or divergent Circle your answer Reasons are not required but I will give no

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

View Full Document Right Arrow Icon
Exam 2, Day 1 M175-001 Fall, 2009 Name: (1 pt.) 1. (10 pts.) Find the antiderivative. Show all work except for Elementary Antiderivatives. i - sin 3 x dx 2. (10 pts.) Find the antiderivative. Show all work except for Elementary Antiderivatives. i x - 2 2 x 2 + x - 1 dx 3. (15 pts.) For each of the expressions below give the appropriate partial fractions decomposi- tion. You do NOT need to solve for the coe±cients in the numerators – leave them as letters. You DO need to complete long division where appropriate. (a) 1 ( x + 3) 2 (3 x + 1) = + + (b) 1 ( x 2 + 4)( x 2 + 2 x + 3) = + (c) x 3 x 2 - 1 = + + 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
4. (10 pts.) The fgure are right shows the graph oF f ′′ For the Function f ( x ) = - 13 . 5 r 1 + e 3 x 2 ±ind n so that the Trapezoid Rule with n intervals will approximate i 2 2 - 13 . 5 r 1 + e 3 x 2 dx to within 10 3 . DO NOT COMPUTE the integral.
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5. (10 pts.) Determine iF each oF the Following is convergent or divergent. Circle your answer. Reasons are not required, but I will give no partial credit For a wrong answer with no reason. (a) i ∞ 2 x-1 √ x 6 + 2 x dx CONVERGENT DIVERGENT (b) i ∞ 5 x 2 + 2 ln x x 3-3 x 2 dx CONVERGENT DIVERGENT (c) i ∞ 5 x 50 2 e x-x 3 dx CONVERGENT DIVERGENT 6. (10 pts.) Apply a trigonometric substitution to i x 2 √ x 2-1 dx SimpliFy the new integral to a power oF a single trig Function and then STOP. DO NOT COMPUTE the new integral. 7. (15 pts.) Compute the improper integral. Show all work except For Elementary Antideriva-tives. i ∞ 2 x 2 e − x dx 2...
View Full Document

This note was uploaded on 10/11/2011 for the course MATH 175 taught by Professor Staff during the Fall '08 term at Boise State.

Page1 / 2

Short2b - 5(10 pts Determine iF each oF the Following is convergent or divergent Circle your answer Reasons are not required but I will give no

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