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Спираль Архимеда задана формулой [$961$]=а*ф Я знаю, что формула нахождения криволинейного интеграла в полярных координатах:[$8747$]f([$961$]cosф;[$961$]sinф)[$8730$]([$961$]'^2+[$961$]^2)dф При подставлении arctg(y/x) превратится в [$966$] Но вот сложность, как мне правильно взять производную от спирали Архимеда? [$961$]=а*ф
Извините за внешний вид Изначальный криволинейный интеграл первого рода: ∫arctg(y/x)dl Заданы условия: а=1; α=0; β=pi/4; α≤ф≤β
Спираль Архимеда задана формулой ρ=а*ф Я знаю, что формула нахождения криволинейного интеграла в полярных координатах:∫f(ρcosф;ρsinф)√(ρ′^2+ρ^2)dф При подставлении arctg(y/x) превратится в φ Но вот сложность, как мне правильно взять производную от спирали Архимеда? ρ=а*ф
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anastasia.kaganova