So, when you go to polar coordinates, basically all you have to remember on the side of integrate is that x becomes r cosine theta. y becomes r sine theta.
在极坐标系里,要记住在积分一侧,只是把x变成rcosθ,y变成rsinθ
Or, the other way around, I have a function of x and y and I want to express it in terms of the polar coordinates r and theta.
反过来,有一个关于x和y的函数,也可以表示成极坐标r和θ
R This one is a double integral. So, if you are doing it, say, on a disk, you would have both R and theta if you're using polar coordinates.
不是变量,这是在一个圆上。,R,is,not,a,variable。,You,are,on,the,circle。,这个是二重积分,如果你们这么做的话,在圆盘上,如果你们用极坐标的话,就需要用到R和θ
Remember that polar coordinates are about replacing x and y as coordinates for a point on a plane by instead r, r and theta,which is the angle measured counterclockwise from the positive x-axis.
极坐标是关于r,θ的,用r,θ代替平面上一点的x,y坐标,是从原点到那一点的距离,,which,is,the,distance,from,the,origin,to,a,point,θ是由x轴逆时针旋转,而得到的夹角。
Remember that polar coordinates are about replacing x and y as coordinates for a point on a plane by instead r, r and theta,which is the angle measured counterclockwise from the positive x-axis.
极坐标是关于r,θ的,用r,θ代替平面上一点的x,y坐标,是从原点到那一点的距离,,which,is,the,distance,from,the,origin,to,a,point,θ是由x轴逆时针旋转,而得到的夹角。
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