I mean, in this form, actually it's the same statement as in single variable calculus.
我指的是,在这种形式下,它和一元微积分的表述是一样的。
Very good. OK, that's at least one thing you should remember from single variable calculus.
非常好,这是一元微积分中,你们至少应该记住的。
Let's say that you want to understand actually all these rules about taking derivatives in single variable calculus.
如果说你要知道,关于一元微积分中所有的求导法则。
When you compute an integral in single variable calculus, you don't do that. You don't cut into little pieces and sum the pieces together.
当计算一个单变量的积分时,你不会这样做的,不会分割出一个个小块,再对这些小块求和。
Well, I don't expect that you would need integration by parts, although I still hope that some of you remember it from single variable calculus.
不要求掌握分部积分公式,但还是希望,有些人能在单变量积分中记住它。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
作为引子,你们可能已经知道了,一元微积分里面的一个小把戏,也就是求隐函数微分法。
OK, so, yeah that's a strong suggestion that if you've forgotten everything about single variable calculus, now would be a good time to actually brush up on integrals.
我强烈建议,如果你忘记了单变量积分的知识,现在就是一个很好的复习机会。
OK, so, yeah that's a strong suggestion that if you've forgotten everything about single variable calculus, now would be a good time to actually brush up on integrals.
我强烈建议,如果你忘记了单变量积分的知识,现在就是一个很好的复习机会。
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