Question

Evaluate the integral (by interpreting it as the area between two curves): The integral from 0 to 4 of the absolute value of ((x+2)^(1/2) -x) dx. I'm having a difficult time trying to compute the antiderivative.

Answer 1

break up the integral and solve from 0 to 2 and then 2 to 4

Answer 2

then add the two integrals

Answer 3

So would it be the integral from 0 to 2 of the absolute value of (x+2)^(1/2) plus the integral from 2 to 4 of the absolute value of -x?

Answer 4

Never mind, I figured it out. Thanks!