4.3 Homework Quiz
1. Set up a definite integral that yields the area
of the region. (Do not evaluate the integral.)
The function is f ( x) = − x 2 + 2 x + 3 .
2. Sketch the region whose area is given by
4
∫ ( − x + 4 ) dx . Then calculate the area.
0
3. Given
3
6
6
1
1
3
∫ f ( x ) dx = 4 and ∫ f ( x ) dx = −5 , evaluate ∫ f ( x ) dx = 4 .
4. Given the graph of y = ln x , to which value
4
is ∫ ln x dx closest? (a) 1 (b) 2 (c) 4 (d) 8
2
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