+0  
 
+2
676
2
avatar+7155 

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

Best Answer 

 #1
avatar+12560 
+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
avatar+12560 
+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
 #2
avatar+7155 
+6

Ohhhh okay thank you!!!! smileysmiley

hectictar  Feb 22, 2017

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