SlideShare a Scribd company logo
1 of 1
Download to read offline
SOLUTIONNotice thatt2becomes simpler when differentiated (wherease5tis mostly unchanged
when differentiated or integrated), so we choose
Thendu=u=dv=dtThendu=dtv= Find t^2e^5tdt. SOLUTION Notice that t^2becomes simpler
when differentiated (whereas e^5t is mostly unchanged when differentiated or integrated), so we
choose Integration by parts gives The integral that we obtained, te^5t dt, is simpler than
the original integral but is still not obvious. Therefore, we use integration by parts a second time,
this time withu=tanddv=e^5tdt. Thendu= Putting this in Equation 3, we get
Solution
t*T e^(5t)/5 - (2/5)[ te^(5t)/5 - e^(5t)/25 ] t*t e^(5t)/5 - (2/25) te^(5t) + 2/125 e^(5t)
]

More Related Content

More from deepaksatrker

What are the benefits to firms of international diversification Wha.pdf
What are the benefits to firms of international diversification Wha.pdfWhat are the benefits to firms of international diversification Wha.pdf
What are the benefits to firms of international diversification Wha.pdf
deepaksatrker
 
What are electromagnetic wavesSolutionWe are encompassed by w.pdf
What are electromagnetic wavesSolutionWe are encompassed by w.pdfWhat are electromagnetic wavesSolutionWe are encompassed by w.pdf
What are electromagnetic wavesSolutionWe are encompassed by w.pdf
deepaksatrker
 
Using RustBecause postfix expressions are simpler and faster to ev.pdf
Using RustBecause postfix expressions are simpler and faster to ev.pdfUsing RustBecause postfix expressions are simpler and faster to ev.pdf
Using RustBecause postfix expressions are simpler and faster to ev.pdf
deepaksatrker
 
This file contains a complete array-based MultiSet, but not the code.pdf
This file contains a complete array-based MultiSet, but not the code.pdfThis file contains a complete array-based MultiSet, but not the code.pdf
This file contains a complete array-based MultiSet, but not the code.pdf
deepaksatrker
 
T 5. A contract should be held enforceable even if a party is mistake.pdf
T 5. A contract should be held enforceable even if a party is mistake.pdfT 5. A contract should be held enforceable even if a party is mistake.pdf
T 5. A contract should be held enforceable even if a party is mistake.pdf
deepaksatrker
 
Subject - Project ManagementDescribe what the WBS is and why you .pdf
Subject - Project ManagementDescribe what the WBS is and why you .pdfSubject - Project ManagementDescribe what the WBS is and why you .pdf
Subject - Project ManagementDescribe what the WBS is and why you .pdf
deepaksatrker
 
Please help with the English test !!! Thank you very much!Identify.pdf
Please help with the English test !!! Thank you very much!Identify.pdfPlease help with the English test !!! Thank you very much!Identify.pdf
Please help with the English test !!! Thank you very much!Identify.pdf
deepaksatrker
 
Interpret the following graphYour answer must include discussion o.pdf
Interpret the following graphYour answer must include discussion o.pdfInterpret the following graphYour answer must include discussion o.pdf
Interpret the following graphYour answer must include discussion o.pdf
deepaksatrker
 
In 1925, David Keilin used a simple spectroscope to observe the char.pdf
In 1925, David Keilin used a simple spectroscope to observe the char.pdfIn 1925, David Keilin used a simple spectroscope to observe the char.pdf
In 1925, David Keilin used a simple spectroscope to observe the char.pdf
deepaksatrker
 
i am finishing a project for my cs 0401 java course. I have complete.pdf
i am finishing a project for my cs 0401 java course. I have complete.pdfi am finishing a project for my cs 0401 java course. I have complete.pdf
i am finishing a project for my cs 0401 java course. I have complete.pdf
deepaksatrker
 

More from deepaksatrker (19)

What are the benefits to firms of international diversification Wha.pdf
What are the benefits to firms of international diversification Wha.pdfWhat are the benefits to firms of international diversification Wha.pdf
What are the benefits to firms of international diversification Wha.pdf
 
What are electromagnetic wavesSolutionWe are encompassed by w.pdf
What are electromagnetic wavesSolutionWe are encompassed by w.pdfWhat are electromagnetic wavesSolutionWe are encompassed by w.pdf
What are electromagnetic wavesSolutionWe are encompassed by w.pdf
 
Using RustBecause postfix expressions are simpler and faster to ev.pdf
Using RustBecause postfix expressions are simpler and faster to ev.pdfUsing RustBecause postfix expressions are simpler and faster to ev.pdf
Using RustBecause postfix expressions are simpler and faster to ev.pdf
 
tnt en Assignment Nickele Company reoorts net income of sae,4n0 in .pdf
tnt en Assignment Nickele Company reoorts net income of sae,4n0 in .pdftnt en Assignment Nickele Company reoorts net income of sae,4n0 in .pdf
tnt en Assignment Nickele Company reoorts net income of sae,4n0 in .pdf
 
This file contains a complete array-based MultiSet, but not the code.pdf
This file contains a complete array-based MultiSet, but not the code.pdfThis file contains a complete array-based MultiSet, but not the code.pdf
This file contains a complete array-based MultiSet, but not the code.pdf
 
The structure of a high temperature superconductor containing barium.pdf
The structure of a high temperature superconductor containing barium.pdfThe structure of a high temperature superconductor containing barium.pdf
The structure of a high temperature superconductor containing barium.pdf
 
The present value o.pdf
The present value o.pdfThe present value o.pdf
The present value o.pdf
 
The Associated Handles section in Resource Monitor can be used to sh.pdf
The Associated Handles section in Resource Monitor can be used to sh.pdfThe Associated Handles section in Resource Monitor can be used to sh.pdf
The Associated Handles section in Resource Monitor can be used to sh.pdf
 
T 5. A contract should be held enforceable even if a party is mistake.pdf
T 5. A contract should be held enforceable even if a party is mistake.pdfT 5. A contract should be held enforceable even if a party is mistake.pdf
T 5. A contract should be held enforceable even if a party is mistake.pdf
 
Subject - Project ManagementDescribe what the WBS is and why you .pdf
Subject - Project ManagementDescribe what the WBS is and why you .pdfSubject - Project ManagementDescribe what the WBS is and why you .pdf
Subject - Project ManagementDescribe what the WBS is and why you .pdf
 
Significant mass extinctions occurred during which of the following .pdf
Significant mass extinctions occurred during which of the following .pdfSignificant mass extinctions occurred during which of the following .pdf
Significant mass extinctions occurred during which of the following .pdf
 
Please help with the English test !!! Thank you very much!Identify.pdf
Please help with the English test !!! Thank you very much!Identify.pdfPlease help with the English test !!! Thank you very much!Identify.pdf
Please help with the English test !!! Thank you very much!Identify.pdf
 
Name the process used to arrange fluorescent colored DNA segments in.pdf
Name the process used to arrange fluorescent colored DNA segments in.pdfName the process used to arrange fluorescent colored DNA segments in.pdf
Name the process used to arrange fluorescent colored DNA segments in.pdf
 
1) the micronutrient calcium is often applied in the form of calcium.pdf
1) the micronutrient calcium is often applied in the form of calcium.pdf1) the micronutrient calcium is often applied in the form of calcium.pdf
1) the micronutrient calcium is often applied in the form of calcium.pdf
 
1) Which of the following can Spyware (1 poin and viruses not do to y.pdf
1) Which of the following can Spyware (1 poin and viruses not do to y.pdf1) Which of the following can Spyware (1 poin and viruses not do to y.pdf
1) Which of the following can Spyware (1 poin and viruses not do to y.pdf
 
IV Answer the following uestions. 2 points each) Definition or Questi.pdf
IV Answer the following uestions. 2 points each) Definition or Questi.pdfIV Answer the following uestions. 2 points each) Definition or Questi.pdf
IV Answer the following uestions. 2 points each) Definition or Questi.pdf
 
Interpret the following graphYour answer must include discussion o.pdf
Interpret the following graphYour answer must include discussion o.pdfInterpret the following graphYour answer must include discussion o.pdf
Interpret the following graphYour answer must include discussion o.pdf
 
In 1925, David Keilin used a simple spectroscope to observe the char.pdf
In 1925, David Keilin used a simple spectroscope to observe the char.pdfIn 1925, David Keilin used a simple spectroscope to observe the char.pdf
In 1925, David Keilin used a simple spectroscope to observe the char.pdf
 
i am finishing a project for my cs 0401 java course. I have complete.pdf
i am finishing a project for my cs 0401 java course. I have complete.pdfi am finishing a project for my cs 0401 java course. I have complete.pdf
i am finishing a project for my cs 0401 java course. I have complete.pdf
 

Recently uploaded

SPLICE Working Group: Reusable Code Examples
SPLICE Working Group:Reusable Code ExamplesSPLICE Working Group:Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
Peter Brusilovsky
 
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
中 央社
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
EADTU
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project research
CaitlinCummins3
 

Recently uploaded (20)

diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
 
Trauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical PrinciplesTrauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical Principles
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
 
How to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptxHow to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptx
 
8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management
 
Basic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of TransportBasic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of Transport
 
AIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.pptAIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.ppt
 
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community PartnershipsSpring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group:Reusable Code ExamplesSPLICE Working Group:Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
 
Major project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategiesMajor project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategies
 
How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17
 
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文會考英文
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
 
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppImproved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
 
e-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopale-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopal
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project research
 
male presentation...pdf.................
male presentation...pdf.................male presentation...pdf.................
male presentation...pdf.................
 
How to Send Pro Forma Invoice to Your Customers in Odoo 17
How to Send Pro Forma Invoice to Your Customers in Odoo 17How to Send Pro Forma Invoice to Your Customers in Odoo 17
How to Send Pro Forma Invoice to Your Customers in Odoo 17
 

SOLUTIONNotice thatt2becomes simpler when differentiated (wherease5t.pdf

  • 1. SOLUTIONNotice thatt2becomes simpler when differentiated (wherease5tis mostly unchanged when differentiated or integrated), so we choose Thendu=u=dv=dtThendu=dtv= Find t^2e^5tdt. SOLUTION Notice that t^2becomes simpler when differentiated (whereas e^5t is mostly unchanged when differentiated or integrated), so we choose Integration by parts gives The integral that we obtained, te^5t dt, is simpler than the original integral but is still not obvious. Therefore, we use integration by parts a second time, this time withu=tanddv=e^5tdt. Thendu= Putting this in Equation 3, we get Solution t*T e^(5t)/5 - (2/5)[ te^(5t)/5 - e^(5t)/25 ] t*t e^(5t)/5 - (2/25) te^(5t) + 2/125 e^(5t) ]