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Clarence
 one year ago
For this question:
Suppose −∫1(top)−4(bottom) for f(x)dx = 4 and −∫1(top)−4(bottom) g(x)dx=−4. What is the value of −∫1(top)−4(bottom)(3f(x)−4g(x))dx.
Wouldn't it just be 3(4)4(4) and hence would equal 28?
Clarence
 one year ago
For this question: Suppose −∫1(top)−4(bottom) for f(x)dx = 4 and −∫1(top)−4(bottom) g(x)dx=−4. What is the value of −∫1(top)−4(bottom)(3f(x)−4g(x))dx. Wouldn't it just be 3(4)4(4) and hence would equal 28?

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hartnn
 one year ago
Best ResponseYou've already chosen the best response.2\(\large \int \limits_{4}^{1}f(x)dx = 4 \\ \Large \int \limits_{4}^{1}g(x)dx = 4 \\ \Large \int \limits_{4}^{1}3f(x) 4g(x) = .. ?\) this is your question ?

clarence
 one year ago
Best ResponseYou've already chosen the best response.0Yes, sorry, I didn't think I could add equations when I was writing up the question.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2no problem :) just to clarify are those negative signs outside integrals, also present in the question ?

clarence
 one year ago
Best ResponseYou've already chosen the best response.0Yes there are, would that make a difference to the answer of my question?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2yes thats because now \(\int \limits_{4}^{1}f(x) = 4\)

clarence
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see, why's that?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2multiplying 1 on both sides

clarence
 one year ago
Best ResponseYou've already chosen the best response.0Oh... RIGHT! Can't believe I missed that!! Thanks for your help :)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2welcome ^_^ so whats your new final answer?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2actually it wouldn't make a difference in the final answer because there is a negative sign outside the 3rd integral too! 3(4)  4(4) =28 3 (4) +4(4) = 28 :D

clarence
 one year ago
Best ResponseYou've already chosen the best response.0Aha, yeah, I reached a mental blank whilst trying to figure that out and trying to make sense of it all in my head :P Thanks for the clarification!
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