【基础微积分】he area of the region enclosed by the polar curve r=1-cosθ?

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【基础微积分】he area of the region enclosed by the polar curve r=1-cosθ?
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【基础微积分】he area of the region enclosed by the polar curve r=1-cosθ?
【基础微积分】he area of the region enclosed by the polar curve r=1-cosθ?

【基础微积分】he area of the region enclosed by the polar curve r=1-cosθ?
面积S=1/2∫(0到2π) r^2 dθ=1/2∫(0到2π) (1-cosθ)^2 dθ=1/2∫(0到2π) (1-2cosθ+(cosθ)^2) dθ=1/2∫(0到2π) (1-2cosθ+1/2+1/2cos2θ) dθ=3π/2