Solve Integration by Parts: Help with First Steps

Click For Summary

Homework Help Overview

The discussion revolves around the integration of the function \(\int_0^x 2ct e^{-ct^2} dt\), where \(c\) is a positive constant. Participants are seeking assistance with the initial steps of the integration process, specifically regarding the method to apply.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants suggest using integration by parts, while others propose a variable substitution as a simpler alternative. There is also a mention of confusion regarding the complexity of the problem.

Discussion Status

Participants are actively engaging with the problem, offering different perspectives on the approach to take. Some guidance has been provided regarding potential methods, but no consensus has been reached on a single approach.

Contextual Notes

There appears to be some uncertainty about the necessity of integration by parts versus a simpler substitution method. The original poster has expressed frustration with the problem, indicating multiple attempts without success.

Millhawk
Messages
3
Reaction score
0

Homework Statement


I have tried this question a number of times, but to no avail. Could somebody please help with the first couple of lines, thank you.

\int_0^x2cte^{-ct^2}dt where c is a positive constant


Homework Equations





The Attempt at a Solution


Let u=t and let dv=2ce^{-ct^2}dt
 
Last edited:
Physics news on Phys.org
Millhawk said:

Homework Statement


I have tried this question a number of times, but to no avail. Could somebody please help with the first couple of lines, thank you.

\int_0^x2cte^{-ct^2}dt where c is a positive constant

Homework Equations


The Attempt at a Solution


Let u=t and let dv=2ce^{-ct^2}dt

just change variables to x=ct^2. you don't need "integration by parts".
 

Homework Statement



The above was edited wrong.

I have tried this question a number of times, but to no avail. Could somebody please help with the first couple of lines, thank you.

\int_0^x2cte^{-ct^2}dt where c is a positive constant


Homework Equations





The Attempt at a Solution


Let u=t and let dv=2ce^{-ct^2}dt
 
ditto
 
Take olgranpappy's advice, all you need is a simple u-sub.
 
Thank you, it's amazing how a simple question can transform itself into Electromagnetic Field Theory with such ease when a tired human brain is applied. Thank you again.
 
Happens to me all the time, no worries :-]
 

Similar threads

Find the value of the definite integral
  • · Replies 8 ·
Replies
8
Views
2K
Evaluate the definite integral in the given problem
  • · Replies 1 ·
Replies
1
Views
2K
Differentiate the given integral
  • · Replies 15 ·
Replies
15
Views
2K
Prove that the integral is equal to ##\pi^2/8##
  • · Replies 105 ·
4
Replies
105
Views
11K
Avoid unpleasant integrals in solving IVP
  • · Replies 3 ·
Replies
3
Views
2K
Solve the problem involving the given double integral
  • · Replies 1 ·
Replies
1
Views
2K
Area surface of revolution (rotating this astroid curve around the x-axis)
  • · Replies 2 ·
Replies
2
Views
2K
Integrals that keep me up at night
  • · Replies 22 ·
Replies
22
Views
3K
Help with a line integral please
  • · Replies 2 ·
Replies
2
Views
2K
Is the Calculation of the Vector Line Integral Over a Square Correct?
  • · Replies 12 ·
Replies
12
Views
2K