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Mathematics
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OpenStudy (anonymous):
Calculas help
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OpenStudy (anonymous):
you use k12?
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
Properties you have to use (for the first one):\[\int_a^b cf(x)~dx=c\int_a^bf(x)~dx\]
\[\int_a^bf(x)~dx+\int_a^bg(x)~dx=\int_a^b(f(x)+g(x))~dx\]
OpenStudy (anonymous):
ok so what do I do next?
OpenStudy (shamil98):
You could integrate the function and then evaluate it at the bounds.
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OpenStudy (anonymous):
\[\int_3^6x^2~dx=63~~\Rightarrow~~3\int_3^6x^2~dx=189\\
\int_3^6x~dx=13.5~~\Rightarrow~~5\int_3^6x~dx=67.5\\
\text{So, }\int_3^6\left(3x^2-5x\right)~dx=189-67.5=\cdots\]
OpenStudy (anonymous):
haha ok great and I totally get it, could u help with a few more plzzz?
OpenStudy (anonymous):
2,3,and 4.
OpenStudy (anonymous):
I'm not going to do the problems for you, if that's what you're asking.
OpenStudy (shamil98):
I'll help with 3.
\[\int\limits_{1}^{4} e^x dx = 51.880 ..... \int\limits_{4}^{1} 2e^{(x+3)} dx = - 2\int\limits_{1}^{4} e^{(x+3)}\]
Evaluate it from there.
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OpenStudy (anonymous):
thnxs
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