CPM Homework Help : APCALC Problem 4-51

What is the equation of the vertical line that will divide $\int _ { 0 } ^ { 6 } 5 d x$ in half? Is this the same line that will divide $\int _ { 0 } ^ { 6 } 5 x d x$ in half?

Hint:

$\text{The graph of }\int_{0}^{6}5dx\text{ looks like a rectangle with horizontal base 6 and vertical height 5.}$

What is the area of that rectangle and where would you draw a vertical line to cut its area in half?

Hint:

$\text{The graph of }\int_{0}^{6}5xdx\text{ looks like a triangle with horizontal base 6 and vertical height 5.}$

What is the area of that triangle and where would you draw a vertical line to cut its area in half?