A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

Brooke_army
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{} \cos(10x)dx\] u=10x

Mimi_x3
 2 years ago
Best ResponseYou've already chosen the best response.3\[\int\limits cosaxdx =\frac{1}{a} sinax+c\]

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.0just use the basic formula : int (cosAx) dx = 1/A * sinAx + c

Brooke_army
 2 years ago
Best ResponseYou've already chosen the best response.0I don't understand the basic formula

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2@Brooke_army "parts" is something else that you may not have seen yet. this type of integration is usually called "u  substitution"

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2if you didn't have the \(10x\) you would have \[\int cos(x)dx=\sin(x)\] because \[\frac{d}{dx}[\sin(x)]=\cos(x)\] but \[\frac{d}{dx}[\sin(10x)]=10\cos(10x)\] by the chain rule therefore, to get what you want, you have to divide by \(10\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2so if you take the derivative of \(\frac{1}{10}\sin(10x)\) you get exactly what you want, namely \(\cos(10x)\)
Ask your own question
Ask a QuestionFind 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.