Extension: Are Anti-Derivatives of Products Nice?

Explanations 3

• NOT FINISHED: WILL BE FURTHER EDITED SUBSEQUENTLY. It can be very difficult, or sometimes even impossible, to integrate a product. For example, ∫xsin⁡xdx\int x\sin x dx∫xsinxdx …

  By Kevin Ren, Alex Federspiel

• Anti-derivatives of Products - Integration by parts The Product rule says: ddx(uv)=udvdx+vdudx\frac{d}{dx}\left(uv\right) = u\frac{dv}{dx}+v\frac{du}{dx}dxd​(uv)=udxdv​+vdxdu​ N…

  By Yan Yau Cheng, Alex Federspiel

• Here is some practice for integration by parts. Best of luck!

  By Freya Edholm