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.
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
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