How Do You Integrate 2x sin(x^2) dx?

  • Thread starter Thread starter teng125
  • Start date Start date
  • Tags Tags
    Dx Integrate Sin
Click For Summary

Homework Help Overview

The discussion revolves around the integration of the function 2x sin(x^2) with respect to x. Participants are exploring methods to approach this integral within the context of calculus.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Some participants suggest using substitution, specifically u = x^2, as a potential method for solving the integral. Others express uncertainty about the reasoning behind the steps taken in the integration process.

Discussion Status

There is an ongoing exploration of the integration technique, with some participants providing hints and suggestions. However, there is no explicit consensus on the method or the reasoning behind it, as questions about understanding remain.

Contextual Notes

Participants are discussing the integration process under the constraints of homework rules, which may limit the depth of explanation or the provision of complete solutions.

teng125
Messages
416
Reaction score
0
may i know how to integ [2x sin (x^2) dx]??the answer is -cos(x^2)

thanx...
 
Physics news on Phys.org
use the subsititution u= x^2
 
teng125 said:
may i know how to integ [2x sin (x^2) dx]??the answer is -cos(x^2)
thanx...

\int 2xsin(x^2)dx = \int sin(x^2) dx^2 = -cos(x^2)

The clue is that

2xdx = dx^2

marlon

edit : which is basically the same as what What has stated :)
 
oh...okkk...thanx...
 
teng125 said:
oh...okkk...thanx...
Haha, you don't sound to sure on that. Does it make sense?
 

Similar threads

Differentiate the given integral
  • · Replies 15 ·
Replies
15
Views
2K
Calculating radius of gyration of plane figure about x-axis
  • · Replies 5 ·
Replies
5
Views
3K
Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x
  • · Replies 3 ·
Replies
3
Views
2K
Find the result of definite integration
  • · Replies 6 ·
Replies
6
Views
2K
Arc length of vector function - the integral seems impossible
  • · Replies 2 ·
Replies
2
Views
2K
A question about the derivation of upper bound integrals
  • · Replies 23 ·
Replies
23
Views
2K
Can a human calculate this without a calculator?
  • · Replies 11 ·
Replies
11
Views
2K
Solve the given problem involving integration
  • · Replies 6 ·
Replies
6
Views
2K
How Do You Correctly Apply Integration by Parts to ∫-e^(2x)*sin(e^x) dx?
  • · Replies 9 ·
Replies
9
Views
2K
Solve the given differential equation
  • · Replies 3 ·
Replies
3
Views
1K