Задача 31923 ...

vk215516862

2018-12-14 13:39:13

∫(от а до 1) dx/(x-4)^2=4/21.

sova

2018-12-14 13:45:01

★

∫^(a)_(1)dx/(x–4)^2= ∫^(a)_(1)(x–4)^(-2)d(x-4)= ((x-4)^(-1)/(-1))|^(a)_(1)=

= (-1/(x-4))|^(a)_(1)= -(1/(a-4)) + (1/(1-4))=-(1/(a-4)) - (1/3)


=-(1/(a-4)) - (1/3)=4/21 ⇒ a-4 = -21/11

a=4 - (21/11)

a=23/11