+0

# Hey

+1
295
2
+4695

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
+10614
+10

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
Sort:

#1
+10614
+10

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
+4695
+6

Ohhhh okay thank you!!!!

hectictar  Feb 22, 2017

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