Write down the sums (but DO NOT add them up) that you would use to approximate $A(2^x,1\le x\le4)$ using six intervals and: 

1. Left endpoint rectangles.

   Hint (a):

   This sum should start at $n = 0$ and end at $n = 5$.

2. Right endpoint rectangles.

   Hint (b):

   This sum should start at $n = 1$ and end at $n = 6$.

3. Trapezoids.

   Hint (c):

   Draw all of the trapezoids. Then calculate the area for each.

   $\text{area }=\text{width}\cdot \frac{(\text{base}_{1}+\text{base}_{2})}{2}\text{ for each trapezoid}$