Интеграл 1/(8*sin(x)^(2)-16*sin(x)*cos(x)) (dx)
Решение
Вы ввели
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1 / | | 1 | ---------------------------- dx | 2 | 8*sin (x) - 16*sin(x)*cos(x) | / 0
$$\int_{0}^{1} \frac{1}{8 \sin^{2}{\left (x \right )} - 16 \sin{\left (x \right )} \cos{\left (x \right )}}\, dx$$
График
Ответ
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1 / | | 1 log(tan(1/2)) pi*I | ---------------------------- dx = -oo - ------------- + ---- | 2 16 16 | 8*sin (x) - 16*sin(x)*cos(x) | / 0
$${\it \%a}$$
Численный ответ
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-2.87760764644315
Ответ (Неопределённый)
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/ / /x\\ / 2/x\ /x\\ | log|tan|-|| log|-1 + tan |-| + tan|-|| | 1 \ \2// \ \2/ \2// | ---------------------------- dx = C - ----------- + -------------------------- | 2 16 16 | 8*sin (x) - 16*sin(x)*cos(x) | /
$${{\log \left(\tan x-2\right)}\over{16}}-{{\log \tan x}\over{16}}$$