Choose the correct options for the following questions.
The shaded area in the diagram is given by:
Difficulty: Easy
A:
$\int_{-3}^{1}f(x)dx+\int_{1}^{4}f(x)dx$
B:
$\int_{-3}^{4}f(x)dx$
C:
$\int_{-3}^{0}f(x)dx+\int_{1}^{4}f(x)dx$
D:
$\int_{4}^{-3}f(x)dx$
The area between the x-axis and the curve $y=4x-x^{2}$ is:
Difficulty: Easy
A:
32/2
B:
15
C:
18
D:
21
The area between the x-axis and the curve $y=x^{2}+1$ from x=1 to 2 is:
Difficulty: Easy
A:
15/6
B:
15/4
C:
10/4
D:
10/3
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