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Mathematics 18 Online
OpenStudy (anonymous):

can someone please explain this to me?

OpenStudy (jhannybean):

\[\frac{d}{dx}\int_a^b f(x)dx = F(b)-F(a)\]

OpenStudy (jhannybean):

\[f(x) = R(t) = 2+\cos\left(\frac{\pi t}{11}\right)\]

OpenStudy (anonymous):

can someone pleaseee do the problem with me cause i really dont understand this

OpenStudy (anonymous):

okk

OpenStudy (anonymous):

wait so i just put in 0 for t?

OpenStudy (danjs):

no do not integrate, that is already a function in gal/hr, use that and plug in the value for house

OpenStudy (danjs):

hours

OpenStudy (jhannybean):

You could just evaluate at R(6) - R(0)....

OpenStudy (danjs):

^ yep

OpenStudy (jhannybean):

\[\frac{d}{dx}\int_a^b f(x)dx = F(b)-F(a) = \left. 2+\cos\left(\frac{\pi t}{11}\right) \right|_0^6=~?\]

OpenStudy (jhannybean):

\[\left. 2+\cos\left(\frac{\pi t}{11}\right) \right|_{t=0}^{t=6}=~?\]

OpenStudy (jhannybean):

Hope that helps

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