I need to know how to integrate 2sqrt(100-x^2) from -10 to 10 by hand. It suggests a u-substitution but no u seems to exist. Please help.
Bret Norvilitis
Orchard Park HS
I was never really that sure about substitution but i think this is how it works...
When it says to do a u-sub it means set x to be equal to some function containing u. This also means that you should change your limits as well.
In this case, set and hence then .
So put this into your equation and you get...
.
= .
=