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

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/24 07:02:06
【基础微积分】he area of the region enclosed by the polar curve r=1-cosθ?
x){0]6<ݷO;7LHUH,JMTOS(R3RsSS*9E ɥEe@%v$T;ZE@Âkocӎ F4R"5A #m JMJ2 u@o7/.H̳

【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