Задача 31923 ...

vk215516862

14 декабря 2018 г. в 13:39

∫(от а до 1) dx/(x–4)²=4/21.

sova

14 декабря 2018 г. в 13:45

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∫^a₁dx/(x–4)²= ∫^a₁(x–4)^–2d(x–4)= ((x–4)^–1/(–1))|^a₁=

= (–1/(x–4))|^a₁= –(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