(a) Find .
Observe the graph:
The region from to is in the shape of triangle.
The triangle is below the -axis.
The area of triangle is .
The base of triangle is and the height is .
= area of triangle.
square units.
square units.
(b) Find .
Observe the graph:
The region from to is in the shape of rectangle.
The area of rectangle is .
The base of rectangle is and height is .
= 3(area of rectangle).
square units.
square units.
(c) Find .
Observe the graph:
The region from to is in the shape of triangle.
The region is below the -axis.
The region from to is in the shape of trapezoid.
The region from to is in the shape of triangle.
The region is below the - axis.
area of triangle + area of trapezoid + area of the triangle.
square units.
(d) Find .
Observe the graph:
The region from to is in the shape of triangle.
The region from to is in the shape of triangle.
The region is below the -axis.
The region from to is in the shape of triangle.
area of triangle + area of triangle + area of triangle
square units.
(e) Find .
Observe the graph:
The region from to is in the shape of triangle.
The region is below the - axis.
The region from to is in the shape of trapezoid.
The region from to is in the shape of triangle.
The region is below the - axis.
The region from to is in the shape of triangle.
square units.
(f) Find .
Observe the graph:
The region from to is in the shape of triangle.
The region from to is in the shape of triangle.
square units.
(a) square units.
(b) square units.
(c) square units.
(d) square units.
(e) square units.
(f) square units.
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