It looks like you've uploaded an exercise related to calculating integrals using a variable substitution technique. Here's a breakdown of the two integrals provided in the exercise:

1. Integral I: $I = \int\int\int_D (x^2 + y^2 + z^2) \, dx \, dy \, dz$ where the region $D$ is defined as: $D = \{ (x, y, z) \in \mathbb{R}^3 : x^2 + y^2 + z^2 \leq 1, x \geq 0, y \geq 0, z \geq 0 \}$ This represents the first octant of a sphere with radius 1.

2. Integral J: $J = \int\int\int_{D'} (x^2 + y^2 + z^2) \, dx \, dy \, dz$ where the region $D'$ is given by: $D' = \{ (x, y, z) \in \mathbb{R}^3 : \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} \leq 1, x \geq 0, y \geq 0, z \geq 0 \}$ This represents the first octant of an ellipsoid.

For both integrals, a variable change is likely needed to simplify the computations. The natural substitution for the first integral (involving a sphere) is spherical coordinates, and for the second (involving an ellipsoid), an elliptical transformation will be required.

Would you like me to go into more detail about how to approach these integrals, including the specific change of variables and steps involved?