Red wrote at 2010-03-24 03:22:41
Alon I agree with your strategy. Just note that in your 2nd last line I think your initial 9/4 should be negative, in keeping with the -x^2 in the previous line. This gives an overall result of 44.5 rather than 49. I have double-checked this in a computer.

- Red.

Bobbadee wrote at 2011-03-24 17:22:14
Wait isn't the answer is actually 44.5, because the integral of abs 2x-3= 42.25 + 2.25= 44.5?

I checked on my calculator and it agrees...

Milly wrote at 2011-11-08 04:02:00
Correct method Alon but answer is actually 44.5 as it is -(1.5)^2 not (-1.5)^2.

John Gabriel wrote at 2012-12-21 05:05:38
=9/4 + 9/2 + 64 - 24 - 9/4 + 9/2

=49 .

Is incorrect.

=9/4 + 64 - 24 - 9/4 + 9/2

=44.5

Is correct.

An easier way would have been to integrate the primitive function: Let f'(x)=|2x-3|, then f(x) = [(2x-3)*|2x-3|]/4

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems.
Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions)
2. I'm a team member in the Student's Union of the Technion, helping
students who have problems in mathematics.
3. 2 years of experience as a math teacher in college.
4. I give free homework help for high school students in
Mathematics & Physics.
5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" ,
"Complex Functions".