![Why is u-substitution the reverse chain rule? Furthermore, why do we differentiate rather then antidifferentiate when we perform the substitution? So for the step from u = g(x) to du = g'(x)dx. : Why is u-substitution the reverse chain rule? Furthermore, why do we differentiate rather then antidifferentiate when we perform the substitution? So for the step from u = g(x) to du = g'(x)dx. :](https://preview.redd.it/why-is-u-substitution-the-reverse-chain-rule-furthermore-v0-6xg2sol9dyyb1.jpg?width=640&crop=smart&auto=webp&s=da8255d67f94004b18f7031d7fadde4309497f86)
Why is u-substitution the reverse chain rule? Furthermore, why do we differentiate rather then antidifferentiate when we perform the substitution? So for the step from u = g(x) to du = g'(x)dx. :
![[Basic Maths- Integration] Why can't you use chain rule to differentiate it but not reverse chain rule to integrate it? : r/HomeworkHelp [Basic Maths- Integration] Why can't you use chain rule to differentiate it but not reverse chain rule to integrate it? : r/HomeworkHelp](https://preview.redd.it/basic-maths-integration-why-cant-you-use-chain-rule-to-v0-nu9rliq8ik7a1.png?width=1080&crop=smart&auto=webp&s=f23719ff8bf9d88ebc36d1cc45e3321893af6819)
[Basic Maths- Integration] Why can't you use chain rule to differentiate it but not reverse chain rule to integrate it? : r/HomeworkHelp
![How to Use the Chain Rule for Differentiating an Inverse Trigonometric Function | Calculus | Study.com How to Use the Chain Rule for Differentiating an Inverse Trigonometric Function | Calculus | Study.com](https://study.com/cimages/videopreview/videopreview-full/phez81ne5l.jpg)
How to Use the Chain Rule for Differentiating an Inverse Trigonometric Function | Calculus | Study.com
![U-substitution → Chain Rule. The u-substitution is to solve an… | by Solomon Xie | Calculus Basics | Medium U-substitution → Chain Rule. The u-substitution is to solve an… | by Solomon Xie | Calculus Basics | Medium](https://miro.medium.com/v2/resize:fit:356/0*-XJHdZlNAeVK1iqo.png)