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Integrating e^y(1-y^2)

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Pupil
Karma Points: 50
Respect (30%):
Date Posted: 12/12/2006 1:16:42 PM  Status: Closed
Integrating e^y(1-y^2)
Course Textbook Chapter Problem
Calculus Calculus (5th) by Stewart 16.7 13E
Question Details:
how do I integrate e^y(1-y^2)
 
I tried integrating, substitution, product rule,distributing but nothing works for me to get the answer. Please explain a step by step approach to this problem.
 
Hint: the answer for integrating e^y(1-y^2) is e^y - y^2e^y+2e^y(y-1)
Please help
Bonus Point Alert! Earn +1 additional karma points for helping this monthly member.

I am taking Calculus 3 and Physic 2, I would kindly appreciate all the help I can get.

Answers:

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Oracle
Karma Points: 23,162
Date Posted: 12/12/2006 2:49:05 PM  Status: Live
Asker's Rating: Lifesaver   
Response:
You need to integrate by parts (twice) on the second term once you expand it out.
 
Use the formula        uv-∫vdu
where u =  y2       and     dv = eydy
Then du = 2ydy   and       v = ey
 
 Expand out your integral
 
take the integral of the first term and use integration by parts on the second term
 
Use integration by parts again on the last term (let u = y,   du = dy   and dv = eydy,   v = ey)
 
Finally, take the integral of the last term.

Prior Preparation Prevents Poor Performance.
                                                           ---James Baker, former U.S. Secretary of State
 

                            
 
 
 
 
                         
 
 

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Rookie
Karma Points: 0
Date Posted: 3/30/2007 2:48:31 PM  Status: Live
Asker's Rating: None Provided    Moderator's Rating: N/A
Response:
try a calculator

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Rookie
Karma Points: 0
Date Posted: 4/20/2007 11:40:57 PM  Status: Live
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Response:
how do i solve this    -8-3(4)(4)+5

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Oracle
Karma Points: 10,131
(CSU Long Beach)
Date Posted: 4/21/2007 5:36:36 AM  Status: Live
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Response:
 
 
 

I rarely give answers.  I try to provide solutions.

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Rookie
Karma Points: 3
Date Posted: 9/10/2007 9:20:38 AM  Status: Live
Asker's Rating: None Provided    Moderator's Rating: Helpful
Response:
 

Question 1

 

Milwaukee Melon Manufacturers sells exotic melons at one price, Rs.10 each. The firm has variable costs of Rs. 160,000 on sales of 32,000 melons. Fixed costs are Rs. 80,000. Operating income (EBIT) this year is Rs. 80,000 and after-tax net income is Rs. 30,000. Interest expense is Rs. 20,000.                  (5)       

  1. What is its degree of financial leverage at the current level of EBIT?
  2. Suppose that EBIT were to decline 10 percent next year. What would be the percentage decline in earnings per share (EPS)?

 

Question 2

 

ABC gearing limited has a degree of 2 at its current production and sales level of 10,000 units. The resulting operating income figure is Rs. 1,000.   (5)

 

  1. If sales are expected to increase by 20% from the current 10,000 unit, sale position, what would be the resulting operating profit figure?
  2. At the company’s new sale’s position of 12,000 units, what is the company’s new DOL figure?

 

 

 


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Rookie
Karma Points: 2
Date Posted: 9/15/2007 4:32:01 PM  Status: Live
Asker's Rating: None Provided    Moderator's Rating: Somewhat Helpful
Response:
Hi
 
i need instruction set decoder for the dsp processor
 
DSP processor specification
 
Adsp processor has a variable instuction set architecture 16 and 32 bit wide instruction and has the following datapath component
 
32 bit adder
32 bit mult shifter
32 bit barrel shifter
32 bit logical unit
16 bit wide data regiter
 
there also exist and AGU with the following feature
4-8 bit wide address regiter
 
All signal datapath and AGU instruction are 16 bit wide
16 bit wide Agu instruction also support 8 bit wide immediate load store
the following instruction are all 16 bit wide
32 bit addition with /without saturation
32 bit mult ss,su,us,uu
32 bit mac
32 bit shift with value (+/- 0-- 15)logical/arthimatic
and,or,xor,not
load 16bit,32 bit
store 16 bit,32 bit
jump
branch
return
32 bit instruction consist of one datapath and one Agu instruction.Design an instruction set decode for this archityre

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Rookie
Karma Points: 2
Date Posted: 10/18/2007 4:34:49 PM  Status: Live
Asker's Rating: None Provided    Moderator's Rating: Somewhat Helpful
Response:
whatis the answer to this?If there are 45 members in the 4-h club and 51 members in the SAVE club.If only 2/3 of the members from each club can attend the Comunity Service activity.How many students will be able to attend the program?

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Expert
Karma Points: 1,410
Date Posted: 5/13/2008 10:10:52 PM  Status: Live
Asker's Rating: This answer has not been rated. If you asked this question, then please login.   
Response:

Hello - Please Rate if I did your problem

 



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