Question

how do you integrate ∫|x| dx ?

Answer 1

You have to split it into two integrals. For x > 0 it's just the integral of x dx.
For x < 0 it's the integral of -x dx.

Answer 2

I did that but I dont know what to do next

Answer 3

Do you know how to integrate x dx ?

Answer 4

yea but at the answer at the back of the book is 2(x^2/2) . i am unsure how they got that

Answer 5

when you integrate for x isnt it x^2/2 ?

Answer 6

Plus a constant, yes. :)