英语翻译net signed area 是什么就好.上下文是：the definite integral is defi

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英语翻译
net signed area 是什么就好.
上下文是：
the definite integral is defined informally to be the net signed area of the region in the xy-plane bounded by the graph of ,the x-axis,and the vertical lines x = a and x = b.

应该指的是带正负号的净面积.
譬如,x=a和x=b之间的graph可能有一部分在y轴正半轴,有一部分在y轴的负半轴.因为面积一定是正的,那么你就需要将正半轴那一部分面积算作正面积,即是这个面积之前加个正号,负半轴那一部分面积算作负面积,就是在这部分面积前面加个负号,然后两者相加,就是定积分,而相加得到的,有可能是带正号的面积也可能是带负号的面积,也就是所谓的净面积.这样说很麻烦的,画个图很容易理解,譬如sinx在[0,2π]上,净面积为0.

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