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Mathematics 20 Online
OpenStudy (anonymous):

I have the answer can somone please check me...

OpenStudy (anonymous):

OpenStudy (anonymous):

\(8+11\) for the first one

OpenStudy (anonymous):

what?

OpenStudy (anonymous):

\[\int_1^52dx+\int_1^5m(x)dx=8+11=19\]

OpenStudy (anonymous):

so then my answer is 19

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok thanks just to check with the others viewing is that the correct answer

OpenStudy (anonymous):

you are told \(\int_1^5m(x)dx=11\) and \[\int_1^52dx=4\times 2=8\]

OpenStudy (gorv):

11 for 2nd and 16 for 3rd

OpenStudy (phi):

Here is a question for farmer: what is the integral \[2\int\limits_{1}^{5}dx\]

OpenStudy (gorv):

@satellite73 take his apporch

OpenStudy (anonymous):

right I got 6 before but know satelitte73 said 19 is the answer

OpenStudy (phi):

can you do \[ 2\int\limits_{1}^{5}dx \]?

OpenStudy (anonymous):

isn;t that 11

OpenStudy (phi):

can you do \[ \int dx \] ?

OpenStudy (anonymous):

yes but I have never done anything like this before so I am getting confused my teacher didn't explain tthis section very well so I am confused

OpenStudy (phi):

You should review your book. \[ \int dx = x\] the integration of dx is x if we have a 2 out front we get \[ 2\int dx = 2x\] if we have limits, then the answer is \[ 2 \int_{a}^{b} dx= 2 x |_{a}^{b} = 2a - 2 b\] what is \[ 2 \int_{1}^{5} dx \]?

OpenStudy (phi):

**typo \[ 2 \int_{a}^{b} dx= 2 x |_{a}^{b} = 2b - 2 a \]

OpenStudy (anonymous):

the answer is then 8

OpenStudy (phi):

yes, but do you see how to get 8 ? you evaluate \[ 2 \int_{1}^{5} dx= 2 x |_{1}^{5} = 2\cdot 5 - 2 \cdot 1 = 8 \]

OpenStudy (anonymous):

yes I understand so then 8 is my final answer right

OpenStudy (phi):

no, 8 is not the final answer. The question is \[ \int_{1}^{5} (2+m(x)) \ dx \] as satellite showed you can break that into 2 integrations \[ \int_{1}^{5} 2 \ dx + \int_{1}^{5} m(x) \ dx \] The first one we found is 8. The second integral they tell you . you have to add the two numbers together for the final answer.

OpenStudy (anonymous):

8+4=12

OpenStudy (anonymous):

@farmergirl411 the way to compute \[\int_1^52dx\]is to think of a rectangle with base 4 and height 2, area \(4\times 2=8\)

OpenStudy (phi):

How did you get 4 ? What does it say immediately under Evaluate the integral below given that ....

OpenStudy (anonymous):

the \(4\) because \(5-1=4\)|dw:1367436002088:dw|

OpenStudy (anonymous):

then you get \(8+11\) because your are told that \[\int_1^5m(x)dx=11\]

OpenStudy (phi):

@satellite73 I think farmer was using 4 instead of 11

OpenStudy (anonymous):

so then the final answer is 19

OpenStudy (anonymous):

Yes I was I was sing 4 I used the wrong number sorry

OpenStudy (phi):

No need to be sorry. But you do want to figure out if you are confused by something, and see if you can "unconfuse" yourself.

OpenStudy (anonymous):

yes that is right so then is 19 the final answer

OpenStudy (anonymous):

was the medal meaning yes

OpenStudy (phi):

I would be happier if you *knew* the correct answer is 19. If you are uncertain, that means it is not clear, or you are puzzled by something.

OpenStudy (anonymous):

no I am not confused I am the type of person I want to check tomake sure the other perosn got it too that is why I am asking

OpenStudy (phi):

you can be sure if satellite is answering a question about calculus, it is correct.

OpenStudy (anonymous):

ok thanks good to know

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