Recent content by Sidthewall

Homework Statement A chain lyinh on the ground is 10 m long and its mass 80 kg. How much work is required to raise one end of the chain to a height of 6m. Homework Equations W = F x d = mg x d W = integral of mg dx from 1 to 6 The Attempt at a Solution since mass is 80 kg...

Yes I am 100% sure I am using the right integrel. The integral itself is odd and a longer and harder way to find the volume of this object. I would normally solve this in respect to x but the instrucotr wants it in respect to y. And yeah I am 100% sure it is the right integrel

Homework Statement 2\pi \int_0^6 y\sqrt{25- (y- 1)^2}dy + 5\pi That's the integral i need solved 2. The attempt at a solution[/b] so first i subbed u=y-1 took the 2 pi out of the integral that got me 2 integrals u*sqrt(25-(u)^2) du + sqrt(25-(u)^2) du the first integral =...

2\pi \int_0^6 y\sqrt{25- (y- 1)^2}dy + 5\pi that's the integral I want solved and the answer i got is (25pi^2)/2 + (500*pi)/3 intstead of 25pi^2 + 499.89pi/3

oh and yes amd the question asked me to revolve the circle around the x-axis in terms of y, which is longer by the way.

no no... sorry the circle is being revolved around the x-axis and y2= 1 which is why so the 5pi exists because i am subtracting the volume from y2

1. Homework Statement k so here is the equation i need help with that will find me the volume of a sphere 2*pi*y*sqrt(25-(y-1)^2) dy - 5*pi from 0 to 6 the 5 pi is the volume of a cylinder 2. Steps so first i subbed u=y-1 took the 2 pi out of the integral that got me 2 integrals...

sorry i got it

Homework Statement How do i simplify the ln(3/sqrt(5)) + 2 into the ln(3)- (1/2)ln(5) + 2 Homework Equations The Attempt at a Solution

sorry i am dumb i got it

ok i see it now, but if x^2 = u then dx x= du and then dx = du/x does that makes sense ?

ohhh hmm

x^2 + 2x + 1

Homework Statement sqrt(1 + x^4+ 2x^2) Homework Equations The Attempt at a Solution k so i need a lead on this one, maybe some kind of substition, i am not quite adept with finding the integrals of a square root function with polynomials in it

Homework Statement integral of x *sqrt( x/(x-1)) Homework Equations The Attempt at a Solution I honestly don't know how to approach this i don't see any type of trig substituions whatsover, I really need some kind of lead and an explnation y that method works