Find the integral of sqrt(x)|2-x| dx from 1 to 4.
What do I do with the absolute value? Is it true that I separate it from integral of sqrt(x)(2-x) from 1 to 2 + integral of sqrt(x)(x-2) from 2 to 4?
If that is true, why does the 2-x change into x-2 for the 2nd part of the integral?
Thanks
@ 1st post:
I believe this integral converges...
@ 2nd post:
Aren't you not supposed to ignore the absolute value? the end value I got was, {4/3[x^(3/2)]-2/5[x^(5/2)]} from 1 to 2 PLUS {2/5[x^(5/2)]-4/3[x^(3/2)]} from 2 to 4. I was told it was this way because of the absolute value...can somebody clarify/explain this?