Find the Integral of (-39240)(9-x^2)^(1/2) with Easy Step-by-Step Guide

Thread starter n05tr4d4177u5
Start date Sep 24, 2005
Tags

Integral

Sep 24, 2005

n05tr4d4177u5

Can someone tell me what is the integral of

(-39240)(9-x^2)^(1/2)

Physics news on Phys.org

Sep 24, 2005

n05tr4d4177u5

rewritten

-39240 times the square root of (9 - x squared)

Sep 24, 2005

Jameson

Insights Author

Gold Member

MHB

Alrighty. We have \int -39240\sqrt{9-x^2}dx

This is going to use trig substitution. Any ideas?

Thread 'I've come across another fluid pressure problem I don't understand'

Neglect gravity other than that of water; neglect friction. F1=ρgsh=1000*10*1*(1+4)=50000 N; F1=ρgsh=1000*10*0.1*4=4000 N; F3=50000-4000=46000 N?

View full post »

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...

View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.

View full post »