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Mathematics 6 Online
OpenStudy (arianna1453):

Calculus Help Fan + Medal

OpenStudy (arianna1453):

OpenStudy (sweetburger):

\[\lim_{n \rightarrow \infty }\sum_{i=1}^{n} f(c_i)\Delta x\]

OpenStudy (across):

lol @ sweetburger

OpenStudy (sweetburger):

I think your lower end point could be possible x = 0 and your upper endpoint being x =2 so \[\Delta x= (b-a)/n\]

OpenStudy (across):

just set it up \[\int_{0}^{2}\int_{0}^{\sin^{-1}\left(x/2\right)}dydx\]

ganeshie8 (ganeshie8):

riemann sum's are no fun @sweetburger

OpenStudy (sweetburger):

this might be above me. ill see myself out

OpenStudy (arianna1453):

Im confused

OpenStudy (across):

Do you know how to perform the integral that I showed you above? Hint: \[\int_{0}^{2}\int_{0}^{\sin^{-1}\left(x/2\right)}dydx=\int_{0}^{2}\sin^{-1}\left(\frac x2\right)\,dx.\]

OpenStudy (sweetburger):

Didn't know that could be rewritten like that . Starting to make some sense to me at least.

OpenStudy (arianna1453):

Not with this question

OpenStudy (across):

-_- Then ask a new question and close this one.

ganeshie8 (ganeshie8):

question explicitly asks to integrate with respect to \(y\) and I don't think op knows double integrals...

OpenStudy (across):

Sure. Then turn it into a type 2 integral:\[\int_{0}^{\sin^{-1}\left(1\right)}2-2\sin\left(y\right)\,dy.\]

OpenStudy (ijlal):

|dw:1461168868394:dw|

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