f(x)=1cm - Netflix

Type: Reality

Languages: Korean

Status: Ended

Runtime: 10 minutes

Premier: 2015-11-10

f(x)=1cm - Multiple integral - Netflix

The multiple integral is a definite integral of a function of more than one real variable, for example, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region in R2 are called double integrals, and integrals of a function of three variables over a region of R3 are called triple integrals.

f(x)=1cm - Use of symmetry - Netflix

T        =                  {                      (            x            ,            y            ,            z            )            ∈                                          R                                            3                                                   :                                       x                              2                                      +                          y                              2                                      +                          z                              2                                      ≤            4                    }                .              {\displaystyle T=\left{(x,y,z)\in \mathbf {R} ^{3}\ :\ x^{2}+y^{2}+z^{2}\leq 4\right}.}  

The “ball” is symmetric about all three axes, but it is sufficient to integrate with respect to x-axis to show that the integral is 0, because the function is an odd function of that variable.

f(x)=1cm - References - Netflix