Задача 35785 № 9.3.16 ...

bolanebyla

2019-04-13 11:28:39

№ 9.3.16

sova

2019-04-13 12:16:43

★

S=2S_(1)=2* ∫ ^(4)_(0)sqrt((4-x)^3)dx=

=2*(-1) ∫ ^(4)_(0)(4-x)^(3/2)d(4-x)=

=-2*((4-x)^(5/2)/(5/2))|^(4)_(0)=

=(-1/5)(sqrt(4-x)^(5))|^(4)_(0)=(-1/5)*0+(1/5)sqrt(4^5)= [b]32/5[/b]