Trigonometric Substitution Triangles

[CpE Maj]

Homework Statement

This may be basic, but how do you know which part of an integration problem fill the up the triangle values for trig substitution?

 

[tiny-tim]

Welcome to PF!

Hi CpE Maj! Welcome to PF!

This may be basic, but how do you know which part of an integration problem fill the up the triangle values for trig substitution?

I don't understand.

Can you give an example? ​