thats the thing i know how to integrate ln(x) where x is any function wih power 1.
ln(x^3-1)
let t = x^3-1 --> 3x^2dx=dt when i sub that in i dont know how to proceed
=ln(t)dt/3x^2 --> maybe another substitution, ie let u=3x^2, du=6xdt,
any help guys?
Homework Statement
Integral of: 2x^3/(x^3-1) with respect to x.
The Attempt at a Solution
you can divide them to get sum of integrals.
=int(2,x) + 2*int(1/(x^-1),x)
=2x + 2*int(1/(x^-1),x)
Im having trouble proceeding with the last part, i just need help getting started.
Homework Statement
Find all values of t so that the three vectors a=(1,2,3) b=(4,5,6) and c=(7,8,t) are coplanar.
Homework Equations
(axb) \bullet c=0
The Attempt at a Solution
(1, 2, 3) x (4, 5, 6)
(-3,6,-3)
(-3,6,-3)\bullet(7,8,t)
27=3t
t=9
it says find ALL values of t. i keep getting 9...
I think I understand most of what you are saying, however I am not trying to go from rectangular to polar, I just want to verify this in rectangular form.
I'm sorry I do not understand. Please simplify the sentence.
There is a question asking to find and verify parametric equations for an ellipse. How would we start and finish such a complex question? Thank you in advance.
Homework Statement
Find and verify parametric equations for an ellipse.
Homework Equations
x=acost
y=bsint
The Attempt at a Solution
lets say the equation is x=3cost, y=3sint, domain: 0 to 2pi
x2 y2
-- + -- = 1
a2 b2
point does verify when t=0 x=3, y=0 which =1...