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Mathematics 28 Online
OpenStudy (anonymous):

Calculas help

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.

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.

OpenStudy (anonymous):

thnxs

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