2. Use your knowledge of geometry to calculate the area that is bordered by the \( x \)-axis and the lines \( x= \) \( -4, x=2 \) and \( y=\frac{3}{2} x+1 \) so that the area that is located below the \( x \)-axis, is counted as negative area.
Then do the same by using partition, where the interval in question is divided into 6 equal parts. How accurate is this estimate? (In percentages, or paint me a word picture. Or paint me an actual picture, even. I don't really care.)