Mathematics
6 Online
OpenStudy (anonymous):
HELP WITH CALC!!
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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
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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
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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?
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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?
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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?
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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):
\[=-3 -10\ln(2)+10\ln(5)\]
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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 !!