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Bài tập Toán INTEGRATION PRACTICE 12

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Find the exact of the shaded region, bounded by the curve and the straight line segment between P and Q... Calculate the exact area of the shaded region, bounded by C and the straight li

Trang 1

The figure above shows the parabola with equation

2 8 18

y=xx+ , 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

2

8 18

y=xx+

(8,18)

Q

(2,6)

P

x

O

Trang 2

The figure above shows the curve C whose equation is

2

6 12

y=xx+

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

9 area 2

=

6 12

y=xx+

A

O

B

x

Trang 3

The figure above shows the curve C whose equation is

2

y=xx+

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

9 area 2

=

B

A

x

O

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