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Mathematics 14 Online
OpenStudy (anonymous):

Can someone please check the answer that I got please....

OpenStudy (anonymous):

OpenStudy (anonymous):

I don't think it can be done is that correct

OpenStudy (anonymous):

is that right

OpenStudy (anonymous):

@phi is that answer correct

OpenStudy (phi):

You should know part of the answer... the integral of b(x) but do you know how to integrate \[ \int_4^9 x \ dx\] ??

OpenStudy (anonymous):

@electrokid can you please help me

OpenStudy (phi):

when you get time, watch http://www.khanacademy.org/math/calculus/integral-calculus/definite_integrals/v/evaluating-simple-definite-integral and maybe some of the videos in the intro to calculus.

OpenStudy (phi):

**Can someone please check the answer that I got please.... what answer would that be ?

OpenStudy (anonymous):

I posted it above Cannot be done

OpenStudy (phi):

yes, you can do this one, but you have to integrate x dx from 4 to 9 \[ 2\int_4^9 x \ dx = ?\]

OpenStudy (anonymous):

10

OpenStudy (anonymous):

is 37 the answer

OpenStudy (anonymous):

is that the correct answer

OpenStudy (phi):

can you show your work ?

OpenStudy (anonymous):

yup 2(10)+17=37

OpenStudy (anonymous):

yup 2(10)+17=37

OpenStudy (phi):

the 17 is correct but how did you get the 10 ? you have to integrate x dx can you do that ?

OpenStudy (phi):

You have to solve \[ 2 \int_4^9 x \ dx \] see http://www.khanacademy.org/math/calculus/integral-calculus/indefinite_integrals/v/indefinite-integrals-of-x-raised-to-a-power for how to do this.

OpenStudy (anonymous):

I got 10 from 2(9)-2(4)=10

OpenStudy (phi):

Yes, but that is not how to do an integral. Erase that from your memory. use the rule \[\int x^n dx = \frac{x^{n+1}}{n+1} \] in your problem n is 1

OpenStudy (anonymous):

so then is the overall answer 19

OpenStudy (phi):

what is the integral? It is: \[ \int x^1 dx = \frac{x^{1+1}}{1+1} = \frac{x^2}{2}\] we want \[ 2\ \int x dx = 2\cdot \frac{x^2}{2}= x^2\] however we have lower limit of 4 and an upper limit of 9. that means you evaluate x^2 at x=9 and subtract x^2 at x=4 can you do that ?

OpenStudy (anonymous):

final answer 65

OpenStudy (phi):

yes \[ 2 \int_4^9 x \ dx = 65\] now add in the integral of b(x) = 17 for the final answer.

OpenStudy (anonymous):

final answer 82 correct?

OpenStudy (phi):

yes. But if I were you, I would learn how to integrate these simple functions. see Khan's videos.

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