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Bài tập Toán INTEGRATION PRACTICE 12
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Created by T. Madas
Question 33
(***+)
y
y = x 2 − 8 x + 18
Q ( 8,18)
P ( 2,6 )
x
O
The figure above shows the parabola with equation
y = x 2 − 8 x + 18 , x ∈ » .
The points P ( 3,3) and Q ( 6,6 ) both lie on the parabola.
Find the exact of the shaded region, bounded by the curve and the straight line segment
between P and Q .
area = 36
Created by T. Madas
Created by T. Madas
Question 34
(***+)
y
y = x 2 − 6 x + 12
B
A
x
O
The figure above shows the curve C whose equation is
y = x 2 − 6 x + 12 .
The points A and B both lie on C and have x coordinates 2 and 5 respectively.
Calculate the exact area of the shaded region, bounded by C and the straight line
segment AB .
area = 9
2
Created by T. Madas
Created by T. Madas
Question 35
(***+)
y = x2 − 4 x + 8
y
B
A
x
O
The figure above shows the curve C whose equation is
y = x2 − 4 x + 8 .
The point A is the minimum point of C and B is a point on C where x = 5 .
Calculate the exact area of the shaded region, bounded by C and the straight line
segment AB .
area = 9
2
Created by T. Madas
