<p>help would be greatly appreciated.</p>
<p>A) find areas of the regions bounded by f(x) = x^2 and g(x) = (x^2/2) +2</p>
<p>B) find areas of the regions bounded by f(x) = x^2 and g(x) = (1 - x^2)</p>
<p>C) area of graph of f(x) = sqrt(x), the horizontal axis, and the vertical axis through (2,0)</p>
<p>lastly, i have no idea how to approach</p>
<p>Prove that int(x^3dx) from 0 to b = (b^4/4), by considering partitions into n equal subintervals, using the forumula for summation i=1 to n of i^3.</p>
<p>help would be greatly appreciated</p>
<p>Well first I would recommend drawing graphs of those three... that will help a ton... its kinda hard to explain over the internet...
Not sure but can't you use the Fundamental Theorem of Calculus to prove the last part?</p>
<p>Indeed, you want to draw graphs of those. When all the equations are in the form "y =" (or f(x)=), the area formula is generally...</p>
<p>(integral from left boundary to right boundary) (top function - bottom function) dx</p>
<p>In some cases, you also need to find intersection points (found by setting the functions equal to one another) in order to find the boundaries.</p>