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Mathematics 21 Online
OpenStudy (anonymous):

I need help with the attached problem:

OpenStudy (anonymous):

I got 1.425 but it's wrong.

OpenStudy (anonymous):

Sample problem:

OpenStudy (anonymous):

\[\int\limits_{0}^{3}\frac{5}{9x+1}dx\]\[5\int\limits_{0}^{3}\frac{1}{9x+1}dx\]we pull the 5 out and we are left with that

OpenStudy (anonymous):

the integration of 1/x is ln x

OpenStudy (anonymous):

then when you integrate you are left with \[5(\ln| 9(3)+1|-\ln| 9(0)+1| )\]

OpenStudy (anonymous):

simplify that and plug into a calculator and that should be your answer.

OpenStudy (anonymous):

I need help in simplifying that. I'm only supposed to get a fraction/whole number for an answer.

OpenStudy (anonymous):

Ok the right hand part simplifies into ln (0+1)= ln (1) and we know ln(1)=0

OpenStudy (anonymous):

wait hold on

OpenStudy (anonymous):

Okay.

OpenStudy (anonymous):

we are left with \[\frac{5}{9}*\ln 28\]

OpenStudy (anonymous):

plug that into a calculator

OpenStudy (anonymous):

I mean: 1.851224728

OpenStudy (anonymous):

yup that's right

OpenStudy (anonymous):

Okay, thanks so much! Will you be on tomorrow? I need help with 8 more problems.

OpenStudy (anonymous):

sure...im kinda tired now. haha

OpenStudy (anonymous):

Yes, me too. I spent the whole day working on calc. Haha, anyways, what time will you be on tomorrow? I'm in the New York/Newark time zone.

OpenStudy (anonymous):

Idk I'm usually on from the morning like 8 or 9 pacific time until I sleep. I'm on vacation so im on most of the day.

OpenStudy (anonymous):

Okay, if you're not on when I am, I'll just message you.

OpenStudy (anonymous):

kk I'll try to respond as soon as possible. latez

OpenStudy (anonymous):

See yaaa

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