10-2 Calculus with Parametric Curves

参数曲线的微积分

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视频讲座

Video 1: Arc Length and Surface Area

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10-2 Calculus with Parametric Curves

PPT 讲义

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小节练习

1. dy/dx for parametric curve x=f(t), y=g(t) is:

g'(t)/f'(t) f'(t)/g'(t) f'(t)*g'(t) g'(t) - f'(t)

2. Arc length of a parametric curve: L =

int sqrt(x^2+y^2) dt int sqrt((dx/dt)^2 + (dy/dt)^2) dt int (dx/dt + dy/dt) dt int x*y dt

← 10-1 参数方程定义的曲线 10-3 极坐标 →