Link to book index:

http://www.thescienceforum.com/Calcu...ions-8994t.php

Chapter 5: Integrals

I do have a question, but for now I just want to find out how to type the integral sign.

∫

There we go. Now for my question:

3) Evaluate ∫<sub>0</sub><sup>1</sup> ( x + [ 1 - x<sup>2</sup> ]<sup>1/2</sup> ) dx

by interpreting it in terms of areas.

My work:

Using what I believe to be the Riemann sum I divided [0,1] into 5 seperate subintervals. Adding the areas of the subintervals together I get 1.26. The book answer is:

1/2 + π/4

Why is this?