A community for students.
Here's the question you clicked on:
 0 viewing
jacobian
 2 years ago
compute the following integral
jacobian
 2 years ago
compute the following integral

This Question is Closed

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0Do you mean:\[\int\limits_{k+\Delta k}^{k\Delta k}A \cos(kx) dk\]In that case: A and x are considered to be constants, so you get:\[\left[ \frac{ A }{ x }\sin(kx) \right]_{k\Delta k}^{k+\Delta k}\]Now subtitute values for k and subtract. On the other hand: shouldn't different variable names be used for the boundaries?

jacobian
 2 years ago
Best ResponseYou've already chosen the best response.0i have it but the y are saying the final answer is dw:1360697434010:dw

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0OK, let's try it:\[\frac{ A }{ x }(\sin((k+\Delta k)x)\sin((k\Delta k)x)\] To get further, you need to remember the formula of Simpson for the difference of two sine functions: sin(a)sin(b)=2cos((a+b)/2)sin((ab)/2), but I have not (yet) got that answer of yours...

jacobian
 2 years ago
Best ResponseYou've already chosen the best response.0@experimentX ,@ZeHanz ,@phi help me pls

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2\[ \frac{2A \Delta k x \cos( kx) }{x} = 2A \Delta k \cos (kx)\]

jacobian
 2 years ago
Best ResponseYou've already chosen the best response.0by further simplifying i got this dw:1360699433822:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1360699738616:dw

jacobian
 2 years ago
Best ResponseYou've already chosen the best response.0thanx for trying maybe they have made the mistake

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.2i have class at 7 in the morning ... sorry ... i gotta sleep now!!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.