I'm trying to understand this example in my book but I don't know how they got from one step to the next.

From here:

\(= \int_{-10}^{10} \sqrt{1+\frac{1}{4}(e^{x/5}-2+e^{-x/5})}dx\)

To here:

\(= \int_{-10}^{10} \sqrt{\frac{1}{4}(e^{x/5}+2+e^{-x/5})}dx\)

It doesn't give any explanation it just jumps from the first one to the second and I'm just supposed to know how that happened.

hectictar
Feb 22, 2017

#1**+12 **

They moved the '1' into the parentheses it will then become '4' due to the 1/4 in front of the parentheses...then they combined the '4' and the -2 (that was already in there) to get +2

ElectricPavlov
Feb 22, 2017

#1**+12 **

Best Answer

They moved the '1' into the parentheses it will then become '4' due to the 1/4 in front of the parentheses...then they combined the '4' and the -2 (that was already in there) to get +2

ElectricPavlov
Feb 22, 2017