MHB Can You Help Me Integrate $\sin(u) + u^6$ Correctly?

  • Thread starter Thread starter jaychay
  • Start date Start date
  • Tags Tags
    Hard Integration
Click For Summary
The discussion focuses on integrating the expression $\sin(u) + u^6$. The initial confusion arose from misplacing parentheses, leading to the incorrect interpretation of the function as $\sin(u + u^6}$. Clarification was provided that the correct expression is simply $\sin(u) + u^6$, which simplifies the integration process. The participant expressed gratitude after understanding the correct approach. Proper placement of parentheses is crucial for accurate mathematical interpretation and integration.
jaychay
Messages
58
Reaction score
0
Untitled 3.png


Can you please help me ?
I have tried to do it many times but still got the wrong answer.
Thank you in advance.
 
Physics news on Phys.org
Make the substitution $t = \sin x$.
 
Opalg said:
Make the substitution $t = \sin x$.
Untitled 5.png
I am stuck here
Can you please help me ?
 
Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.
 
Opalg said:
Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.
Thank you very much
I understand now
 
Thread 'Problem with calculating projections of curl using rotation of contour'
Hello! I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem. Given: ##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0## ##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1## ##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0## I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
21
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
4K