1. Estimate the area under the curve \( f(x)=\frac{1}{2}x^2 +2x+2 \) from \( x=-4\) to \( x=2\) using 3 approximating rectangles and right endpoints.

Solution

2. Estimate the area under the curve \( f(x)=\frac{1}{2}x^2 +2x+2 \) from \( x=-4\) to \( x=2\) using 3 approximating rectangles and left endpoints.

Solution

3. Estimate the area under the curve \( f(x)=\frac{1}{2}x^2 +2x+2 \) from \( x=-4\) to \( x=2\) using 3 approximating rectangles and midpoints.

Solution