Skip to content
START WITH A QUESTION

What would you like to understand?

Find an answer. See the moment it becomes clear. Follow the idea further.

← Concept directory

Answers for “为什么在计算长方体体积的三重积分中,被积函数隐式为 1?”

1 keyword matches

Understanding your question. You can explore the search results below now.

Find a method

↗

By integrating the constant 1 with respect to zz from 0 to 2, the inner integral evaluates to 2. This leaves a double integral ∫03∫042 dy dx\int_{0}^{3}\int_{0}^{4} 2 \, dy \, dx, which represents the volume under the constant surface z(x,y)=2z(x,y)=2 over the xyxy-region.

Conditions: The region is a rectangular box with constant top surface z=2z=2.; The integral is evaluated in the order dz dy dxdz \, dy \, dx.