Aug 21, 2023 · 不定积分符号为什么是∫dx？ 为什么要加一个dx？ 是不是多此一举了？ 这样对于初学者很容易把不定积分和定积分给弄混啊 显示全部 关注者 292

概念的话dx就是把定义域的x范围无限分（微分）其中的一份如x1 到x2 这一小段就是dx。 同理，dy就是值域的无限分为f (x2)-f (x1)。 dy/dx 是f (x)一个微分成dx dy围成的小三角形的tan值 …

The symbol used for integration, $\int$, is in fact just a stylized "S" for "sum"; The classical definition of the definite integral is $\int_a^b f (x) dx = \lim_ {\Delta x \to 0} \sum_ {x=a}^ {b} f …

A "signed definite integral" for computing work and other "net change" calculations. The value of an expression such as $\int_0^1 x^2\,dx$ comes out the same under all these interpretations, …

These identities for $\int_0^1 x^ {-x}\ dx$ and $\int_0^1 x^x\ dx$ are sometimes called the "sophomore's dream". Look that up on Wikipedia.

May 2, 2015 · Okay this may sound stupid but I need a little help... What do $\Large \frac {d} {dx}$ and $\Large \frac {dy} {dx}$ mean? I need a thorough explanation. Thanks.

Dec 2, 2014 · d/dx后面肯定跟这个括号 例如d/dx (x²+1) 其实也就是让你求fx式子中对x的导。也就是 dx/dy=d/dx (f (x))=f' (x),表达方式不同而已。

舍去dx的高阶无穷小 2\pi f (x) (dx)^2，则 V=2\pi\int_a^bxf (x)dx. 这种证明思路物理上可以，数学上就很粗糙了，微分符号滥用使得读者云里雾里。

Jan 9, 2015 · I'm taking differential equations right now, and the lack of fundamental knowledge in calculus is kicking my butt. In class, my professor has done several implicit differentiations. I …

Dec 18, 2022 · 高数：如何求不定积分∫（1/sinx）dx？ 谢谢！ 显示全部 关注者 5