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−1−0.500.51−22

x

y

y=2x

negativepositive

-1

1

−1012342.557.510

x

y

y=2x+1

trapezium

(0,1)

(3,7)

01234246810

x

y

y=2x+1

\int_1^3(2x+1)\,\mathrm{d}x

x=1

x=3

01234−22

x

y

y=x-2

negative contributionpositive contribution

00.511.52123456789

x

y

y=x^3

h=0.5

01234−22

x

y

y=x-2

-2

signed

+2

signed

x=2

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Mathematics 2 · Integration

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