CALCULUS PRESENTED BY GUO CHENG GUANG（05-49）

Integration by Substitution also called u-substition, is the most easily technique by means of a change of variable. We are able to rewrite the integral into a very siple integral that we can do.

The substitution rule in general: ∫f(x)g'(x)dx= ∫f(u)du, where u=g(x).

In this lesson, we will prove that d(arcsin(x))/dx = 1/sqrt(1-x^2) by definition of differentiation and show that ∫(1/sqrt(1-x^2))dx= arcsin(x)+c by substitution

Calculus--Indefinite Integrals (05-49,S/N: 312) Presented By Guo Cheng Guang (aged 11) and Guo Chengxi (aged 8) in English. Lessons In Mathematics and Science (Physics, Chemistry and Biology) From Primary to University Presented By Guo Cheng Guang and Guo Chengxi In English. Your comment or suggestion is very much appreciated. https://www.youtube.com/channel/UC2dG5T9SJkUFTy-h0KbVbkw