Задача 51132 ...

vk424673906

2020-05-21 15:12:37

7. Вычислите ∫ (π/4)^(π/3) (dx / cos² 3x)

vk397114329

2020-05-21 17:28:22

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π3 π/3
∫ dx/cos^2(3x)=1/3*tg3x| =1/3*((tg(3*π/3)-tg(3*π/4))=1/3*(0+1)=1/3
π/4 π/4