Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

First make a substitution and then use integratio…

02:15

Question

Answered step-by-step

Problem 36 Hard Difficulty

Evaluate the integral.

$ \displaystyle \int_0^t e^s \sin (t - s) ds $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

WZ
Wen Zheng
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Wen Zheng

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Related Topics

Integration Techniques

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Grace He
Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

Join Course
Recommended Videos

03:46

Evaluate the integral.
…

01:32

Evaluate the definite inte…

04:02

Evaluate the integral.
…

06:30

Evaluate the integral.
…

02:43

Evaluate the definite inte…

01:08

Evaluate the definite inte…

01:24

Evaluate the given definit…

02:20

Evaluate the indefinite in…

Watch More Solved Questions in Chapter 7

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74

Video Transcript

The problem is, while this is nt grow into your own from zero to t into us arms Sign He minus us? Yes, but this problem we can use my third with integration by parts The farm owner is into girl from a to B. You have absolutely prime yaks If you come too you be from a to B minus integral to being you Prom time slee P X Now for our problem, we can light U s bicultural you two as WeII Prom You speak all to sign in minus then you prom? Yes, they will tow us and re It's Nico too. Call sign minus eyes. Now, by this formula, this integral is you call Teo into us times. Call sign E minus eyes from zero to t minus into go to Ise Time's sign in minus eyes. He us from zero to This is unconscionable that a first term complying He and there are two as they have inter team times will sign. My honesty's a cost zero So this one this is into team minus it was eerie is one on consigned to ministerial offices minus consigned then Linus. But this interior we can also use integration by pars on like you is equal to toe eyes. Big crime. It's legal to sign minus. Then you from asleep too. It wa ce if you can't negative sign in minor size then this integral is the cultural your eyes terms make tio sign. I mean minus us. This is from et tu from there on to I mean and minus auntie go from zero to t you two eyes times make tio fine minus Yes, this's the cartoon into T minus. Consign Andi Minus. This's one with planning tn zero to this term. So we have you know minus it is there are two connective sign. Jesus is past fine. And then mark Plus and to go from zero to Teo two eyes sign minus us. Yes. So this is the count. You you minus call Sign. He minus. Find him Los integral from their own tea. And this is minus ham. Sign the minus us. Yes. Now look at the Sinti girl on this. You know we can find a seam so we can move this term to left hand side than we have should have certainty. Girl, there are tio your eyes. Sign the minus eyes. Yes, this is going to t minus. Sign minus sign. So the thirties, You too. T minus Kasai Human. A scientific over too.

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
65
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
43
Hosted by: Alonso M
See More

Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Anna Marie Vagnozzi

Campbell University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

Join Course
Recommended Videos

03:46

Evaluate the integral. $\int_{0}^{t} e^{s} \sin (t-s) d s$

01:32

Evaluate the definite integral. $$\int_{0}^{2}\left(e^{t}-e^{-t}\right) d t$$

04:02

Evaluate the integral. $$\int_{0}^{1} e^{3} \sin (t-s) d s$$

06:30

Evaluate the integral. $$ \int_{0}^{l} e^{s} \sin (t-s) d s $$

02:43

Evaluate the definite integral. $$\int_{0}^{2}\left(t \mathbf{i}+e^{t} \mathbf{…

01:08

Evaluate the definite integral. $$ \int_{0}^{1}\left(e^{2 t} \mathbf{i}+e^{-t} …

01:24

Evaluate the given definite integral. $$\int_{0}^{1} e^{t} d t$$

02:20

Evaluate the indefinite integral. $$ \int e^{\cos t} \sin t d t $$
Additional Mathematics Questions

03:03

Professor Alle Whet teaches French and has a class of 24 students. Part of h…

01:58

Ih Einax squation I 1 1
S ?

01:07

In the figure to the right; if AC = 13 and BC = 10, what is the radius?
T…

01:04

6_ PA and PB are tangents. If m<P = 38,find mAB_
36

01:48

Determine the determinant of hessian matrix of the function x2-2y24y+6 at po…

02:03

Use the function and the given real number to find (f ~1) (a). (Hint: See Ex…

05:10

The weight of an organ in adult males has bell-shaped distribution with mean…

04:23

The monthly closing stock prices (rounded to the nearest dollar) for Panera …

04:03

survey 42% of the respondents stated that- they talk to their pets on the te…

02:57

A mortgage company classifies its borrowers into three categories: Low Risk …

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started