Homework Statement
Make the appropriate change of variables and evaluate \int\int _R\(sin(9x^2+4y^2)}\;dA
Homework Equations
R is bounded by the ellipse 9x^2+4y^2=1
The Attempt at a Solution
I can't figure out what the substitution should be I tried u=9x^2 and v=4y^2 and that...
Homework Statement
\int\int\int _E\(x^2y}\;dV
Where E is the solid bounded by x^2/a^2+y^2/b^2+z^2/c^2=1
Homework Equations
variable substitution x=au, y=bv, z=cw.
The Attempt at a Solution
I found the jacobian (abc) and I substituted my variables but I can't find the limits of...
gravity inside a solid sphere
Homework Statement
I'm having a hard time setting up a triple integral to find the force of gravity inside a solid sphere. I've done a similar proof in physics before with gravity inside a spherical shell, but it only required a single integral. In this problem...