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Mathematics 6 Online
OpenStudy (anonymous):

HELP WITH CALC!!

OpenStudy (anonymous):

2\[2\int\limits_{?}^{5} 10x- 10/x{2} dx\]

geerky42 (geerky42):

You mean \(\displaystyle \int_2^5 \dfrac{10x - 10}{x^2}dx\) ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

can you help?

OpenStudy (anonymous):

i can help if greeky is busy

OpenStudy (anonymous):

i dont cARE YOU HELPS HAHA

OpenStudy (anonymous):

ok this is simple, but i care i don't like to take someone's else work

OpenStudy (anonymous):

if mr 42 give me permission i will proceed

OpenStudy (anonymous):

just one small hint for the sake of simplification divide by x^2

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

split the denominator between the two terms

OpenStudy (anonymous):

both can be reduced to standard integrals

OpenStudy (anonymous):

no i am just in geometry right now but if i get this right i will get 30% of a shirt it is some local thing can you guys please help !!!!

OpenStudy (anonymous):

\[\displaystyle \int\limits\limits_2^5 \dfrac{10x - 10}{x^2}dx =10 \int\limits\limits_{2}^{5} \frac{dx}{x}-10\int\limits\limits_{2}^{5}\frac{dx}{x^2}\]

OpenStudy (anonymous):

so what would be the final answer?

OpenStudy (anonymous):

ok i will show u the answer

OpenStudy (anonymous):

thank you so much!!!!!!!

OpenStudy (anonymous):

\[= \frac{10}{x}+10\ln(x) \left(\begin{matrix}2 \\ 5\end{matrix}\right)\]

OpenStudy (anonymous):

so all u need to do is plug in 2 and takeaway from 5

OpenStudy (anonymous):

so the answer is 25?

OpenStudy (anonymous):

or 20?

OpenStudy (anonymous):

i got -3 -10ln(2)-10ln(5) as the final answer

OpenStudy (anonymous):

so u may use ur calculator to find the exact value

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

did u understand the solution or do u want more details?

OpenStudy (anonymous):

its like -19 right?

OpenStudy (anonymous):

thats what i got when i pluged in the prob

OpenStudy (anonymous):

\[= \frac{10}{5}+10\ln(5) -\frac{10}{2}-10\ln(2) \]

OpenStudy (anonymous):

\[=(2-5) -10\ln(2)+10\ln(5)\]

OpenStudy (anonymous):

\[=-3 -10\ln(2)+10\ln(5)\]

OpenStudy (anonymous):

you can keep the answer this way, there is no harm

OpenStudy (anonymous):

whats the simplified answer? just wondering because now i am curious ha

OpenStudy (anonymous):

that is what the calculator tells me 6.162

OpenStudy (anonymous):

o ok thank you alot !!

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