Shouldn't the boundary of integration be ##\sqrt{2z}## instead of ##2z##?anuttarasammyak said:
The digits of 1008 add to 9, so...daphnelee-mh said:
?haruspex said:
So 1008 is divisible by 3.daphnelee-mh said:
okay , thank youharuspex said:
A triple integral is a mathematical concept used to calculate the volume of a three-dimensional shape. It involves integrating a function over a three-dimensional region.
To solve a triple integral, you need to first determine the limits of integration for each variable. Then, you can use the appropriate integration techniques, such as the method of cylindrical shells or the method of cross-sections, to evaluate the integral.
Triple integrals are commonly used in physics, engineering, and other fields to calculate quantities such as mass, center of mass, and moments of inertia for three-dimensional objects.
A definite triple integral has specific limits of integration, while an indefinite triple integral does not. A definite triple integral gives a numerical value, while an indefinite triple integral gives a function of the remaining variables.
Some tips for solving a difficult triple integral include breaking it down into smaller parts, using symmetry to simplify the integral, and using appropriate substitution or change of variables to make the integral easier to evaluate.
