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Bladerunner1122
Group Title
When the integral g(x) from 2 to 5 is equal to 5. What is the integral from 2 to 5 of (g(x)+2)dx=? I thought it would be 7, but the teacher as an answer of 19. Please explain thought process.
 one year ago
 one year ago
Bladerunner1122 Group Title
When the integral g(x) from 2 to 5 is equal to 5. What is the integral from 2 to 5 of (g(x)+2)dx=? I thought it would be 7, but the teacher as an answer of 19. Please explain thought process.
 one year ago
 one year ago

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hartnn Group TitleBest ResponseYou've already chosen the best response.0
the integral, gets distributed to both terms. \[\int g(x)dx+\int 2 dx\] so, you need to solve 2nd integral separately, [1st integral=5] can you ?
 one year ago

IStutts Group TitleBest ResponseYou've already chosen the best response.0
i just did the same, but i didn't get 19...
 one year ago

IStutts Group TitleBest ResponseYou've already chosen the best response.0
@hartnn i did that but got 11. unless the 2 becomes a positive 2 somehow, i don't see how you get 19.
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
5+2(5(2)) = +19
 one year ago

phi Group TitleBest ResponseYou've already chosen the best response.0
what is \[2\int\limits_{2}^{5}dx\]
 one year ago

IStutts Group TitleBest ResponseYou've already chosen the best response.0
YUP! come on and say int dude: "F that teacher!"
 one year ago

Bladerunner1122 Group TitleBest ResponseYou've already chosen the best response.1
The teacher is right though?
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.3
If you think of the integral definition, it's just summing up the little rectangles under the curve. In the attached figure, the light blue area is g(x) integrated from x = 2 to x = 5, and has area = l*w = 7*(5/7) = 5. When we switch to integrating g(x) + 2 over that same portion of the x axis, we add in the green region, and now our area is increased by the area l*w = 2*7 = 14, giving a total of 5+14 = 19.
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.3
Sorry, bad label in my graph, g(x) = 5/7, not 5x/7!
 one year ago

ZeHanz Group TitleBest ResponseYou've already chosen the best response.0
@IStutts : although teachers sometimes make mistakes (I know, because I am a teacher), in this case the teacher's right, just read @whpalmer4's answer...
 one year ago

Bladerunner1122 Group TitleBest ResponseYou've already chosen the best response.1
hartnn's description makes the most sense to me mathmatically. Thanks for the help!! :)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
welcome ^_^
 one year ago
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