Indefinite Integral of Bats-化学之国

[ti:] [ar:] [al:] [by:QQ音乐动态歌词] [offset:0] [00:00.00]演唱：松本口森（Matsumoto Koumori）
以下歌词翻译由文曲大模型提供 [00:00.24]作词：化学之国、岡田ポルフィリン（Okada Porphyrin） [00:00.48]作曲：化学之国 [00:00.72]You said it was uncertain
你说这充满不确定性 [00:03.60]But it is the inverse derivative
但它却是反导数 [00:06.96]Just like the derivative of a constant is zero
就像常数的导数为零 [00:15.00]Guess what the inverse derivative of zero is
猜猜零的反导数是什么 [00:20.25]But if it's a trigonometric function
但如果是三角函数 [00:23.46]Take sine as an example
以正弦为例 [00:25.50]Its inverse derivative is the negative cosine
它的反导数是负余弦 [00:28.29]Because the derivative of cosine is negative sine
因为余弦的导数是负正弦 [00:40.89]If you still don't understand what it means
如果你仍不明白其中的含义 [00:43.68]I a bat can't explain it clearly for you
我无法为你清晰地解释 [00:47.40]But if you have to ask
但如果你一定要问 [00:48.66]You'd better ask another little bat
你最好去问另一只小蝙蝠 [00:50.49]She is really good at math
她真的很擅长数学 [00:52.47]Doesn't mean she's good at calculus
但这并不意味着她擅长微积分 [00:54.69]Equivalent to two logarithms A and B are not necessarily equal to their sum
两个对数A和B相等，并不一定等于它们的和 [01:03.00]Definition of indefinite integral
不定积分的定义 [01:06.63]Same as original function and inverse derivative
如同原函数与反导数一般 [01:10.83]To say the indefinite integral of bats
说到蝙蝠的不定积分 [01:13.77]It can be calculated by physical methods
它可以通过物理方法计算 [01:29.88]Indefinite integral of sum of multiple functions
多个函数和的不定积分 [01:33.42]Equal to the sum of indefinite integrals of each function
等于每个函数不定积分的和 [01:39.57]Constant factor of integrand function
被积函数的常数因子 [01:42.33]Can be moved outside the integral
可以移到积分符号外 [01:45.51]It can also be understood as a coefficient
它也可以被理解为一个系数 [01:50.58]The premise is that this function exists
前提是这个函数存在 [01:55.23]And when k is a non-zero integer
当k是一个非零整数时 [01:58.68]If k represents a constant
如果k代表一个常数 [02:02.61]If you want to know the indefinite integral of bats
如果你想知道蝙蝠的不定积分 [02:06.75]Know what its definition is first
首先要了解它的定义 [02:09.87]That is to find all the primitive functions of bats
那就是找到蝙蝠的所有原函数 [02:15.42]However according to the nature of the original function
然而根据原函数的性质 [02:19.44]As long as one of the original functions is found
只要找到一个原函数 [02:23.07]Then add a constant C
然后加上一个常数C [02:25.29]This gives the indefinite integral of bats
这就得到了蝙蝠的不定积分 [02:28.98]Definition of indefinite integral
不定积分的定义 [02:32.34]Same as original function and inverse derivative
如同原函数与反导数一般 [02:36.75]To say the indefinite integral of bats
说到蝙蝠的不定积分 [02:39.63]It can be calculated by physical methods
它可以通过物理方法计算 [02:43.38]If the interval of a function has an original function
如果一个函数的区间有原函数 [02:46.74]That is any X of a function belongs to one
那么函数的任何X都属于一个 [02:49.80]Then the results of these two functions are equal
那么这两个函数的结果是相等的 [02:52.26]And one function plus a constant equals the derivative of another function
一个函数加上一个常数等于另一个函数的导数 [02:56.55]Definition of indefinite integral
不定积分的定义 [02:59.91]Same as original function and inverse derivative
如同原函数与反导数一般 [03:04.32]To say the indefinite integral of bats
说到蝙蝠的不定积分 [03:07.26]It can be calculated by physical methods
它可以通过物理方法计算 [03:33.00]