Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

math456Best ResponseYou've already chosen the best response.1
\[\int\limits_{0}^{9}f(x)dx=37; \int\limits_{0}^{9}g(x)dx=16\]
 one year ago

math456Best ResponseYou've already chosen the best response.1
Find: \[\int\limits_{0}^{9}[2f(x)+3g(x)]dx\]
 one year ago

phiBest ResponseYou've already chosen the best response.1
the integral is "linear" in other words, for a constant "a" \[ \int\limits_{0}^{9} a f(x)dx = a\int\limits_{0}^{9} f(x)dx \]
 one year ago

math456Best ResponseYou've already chosen the best response.1
so in this case \[2\int\limits_{0}^{9} x.dx\]??
 one year ago

phiBest ResponseYou've already chosen the best response.1
and you can separate integrals (assuming they have the same limits \[ \int\limits_{0}^{9} f(x) + g(x) dx= \int\limits_{0}^{9} f(x)dx + \int\limits_{0}^{9} g(x)dx\]
 one year ago

phiBest ResponseYou've already chosen the best response.1
not x , f(x) so separate the problem into \[ 2\int\limits_{0}^{9} f(x)dx + 3\int\limits_{0}^{9} g(x)dx \]
 one year ago

math456Best ResponseYou've already chosen the best response.1
yea right! so \[37x(9,0)+16x(9,0)\]
 one year ago

phiBest ResponseYou've already chosen the best response.1
I don't know about the x(9,0) part just replace the integral with the number they say it is equal to \[ 2\cancel{(\int\limits_{0}^{9} f(x)dx)}37 + 3\int\limits_{0}^{9} g(x)dx \] and do the same for the other, it is 16
 one year ago

phiBest ResponseYou've already chosen the best response.1
I am trying to show you sub in 37 for the result of the first integral
 one year ago

math456Best ResponseYou've already chosen the best response.1
ohh alright, i got it!
 one year ago

math456Best ResponseYou've already chosen the best response.1
so its 2(37) + 3(16) = 122
 one year ago
See more questions >>>
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.