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For the following exercises, compute the center of mass $\overline{x} .$$$\rho=x \sin x \text { for } x \in(0, \pi)$$

$\frac{\pi^{2}-4}{\pi}$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

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in the oceans and Europe. Moss export often interval you to be with Rex is given by expert equals Diggle Off. It'll be ex Drax dears. Abound in traditionally to be upstairs? No, but in the question we have to find expire four. They even hostilities do. Listen, dear, do Bye. Extended necks signings DX as here are always given exciting X. So this is doing buying big addition. It's scientist sticks. So this is our first integral. This is our second and digger. Now we absolve agent zero one by one I'm here the desired result. So first of all, we ever take the first part which is soon like this. This is I want just equal do indeed, dear. Bye. It's a squad Sinus d s. This is equal to x Esquire minus car sex. First of all, we like us. You know this is ugh. This is vey where you is The right front son. Andi is trig along Magic Frandsen This integration he started abusing violet formula eyes in worse for lovely making for the right time for dinner together for experiencia. So first of all we have are the right friend son, So use of the right friends and released Dramatic fancy minus indeed. The law Durex Indigo signing digs. This is equal. Do minus six Iscar Koszics my nest Do it isn't off minus six. Got 60 X. We have after these as minus X s squad concepts plus doing Diggle off X call 60 x So for for forming this part, we have this ass the Houston office concepts the end. This is also solved using islet formula Because we're having I'll be right down. You're the fun son. So this is a desert like this x and do Sinus miners one in tow. Sonics T X is equal. Do ex signings Bless call six. So overall we have this integration equals minus. It's a squad Koszics plus doing to X sine X plus called Sextus equals minus six is God car sex plus two x sine x plus two koszics. So we'll apply the limits here, dear. Bye. And now, after blindly meat, we open this ass minus by a squad caused by bless to buy Signed by glass Do cost by minus. My Assyria blasted a plus to costs Joe, this is Eagle No. Minus by squad into minus one. Blessed do you know? Plus do into minus. Wanna minus doing? 21 this is Eagle do by a squad minus do glass. Cy, this is often minus two. This is Eagle Do by a squad of minus four. Now this again, Bart. Off in delusion, ese. Integrate off little by next sign. X d x. This is giving us Thanks. Don't mind us. Car sex minus in. Tegel off. One in tow. Minus koszics DX. This is equal to minus six. Gone. Six. Yes. Sine x didn't go by. Does it given us? Minus buying. Cost by less. Signed by minus my acid. Or plus Dido. This is equal, though minus find two minus one plus Jiro Miners. D'oh! This equal Dubai? Yeah, for overall, it's Barry gums. I am India, someone of on and you shouldn't do. This is equal do bias part Plus for a phone. Sorry. The day's price for minus for you. You're disbarred for minus four. So here it is, minus a bone fight. So this is that a joke? I didn't answer for the given problem.

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