Задача 61155 ...

61754b9a8c4c5a5ade8c02cc

24.10.2021 15:06:01

Запишите значение интеграла

∫ from 0 to 7 dx ∫ from 0 to 2 dy ∫ from 0 to 4 dz

5f3ea7e3faf909182968ddd9

24.10.2021 17:58:44

★

∫_(0)^(7) dx ∫_(0)^(2) dy ∫^(4)_(0) dz=∫_(0)^(7) dx ∫_(0)^(2) dy (z)|^(4)_(0) =∫_(0)^(7) dx ∫_(0)^(2)(4-0) dy=

=4∫_(0)^(7) dx ∫_(0)^(2) dy=4*∫_(0)^(7) dx (y)|_(0)^(2)=4*∫_(0)^(7) dx (2-0)=

=8∫_(0)^(7) dx =8*(x)|_(0)^(7) =8*(7-0)=[b]56[/b]