The region shaded in light blue is bounded on the left by the curve y=x^(2) (in dark blue), on the right by the curve y=-(1)/(4)x+(5)/(4) (in dark red), and below by the x-axis.
Part 1:
Suppose that we wish to integrate with respect to x to find the value of the shaded area. This will require two integrals. Fill in the blanks with the appropriate values and functions so that the integrals below describe the area of the shaded region:
int_0^1 x^2 dx + int_1^4 (-(1)/(4)x+(5)/(4)) dx
Part 2:
Now, suppose that we wish to integrate with respect to y to find the value of the shaded area.