AS1 Maths Topic 10 Integration

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Integration
Increase power by 1 and divide by new power
1 of 7
Finding the equation of a curve given the gradient function
Integrate the gradient function and sub in co-ordinate of x
2 of 7
To find area between a curve and the x axis
Area = b and a integration sign y.dx
3 of 7
To find area between a curve and the y axis
Area = b and a integration sign x.dy
4 of 7
Tip
Area below axis gives a -ve
Just ignore the end sign
5 of 7
When have to find limits between linear and curve

When have to find are between curve and linear
let y=y

find the whole area e.g. trapezium then use integration to find area between axis and curve and take these away
6 of 7
When finding area between curve and y axis
Make x subject of curve and differentiate this
7 of 7

Other cards in this set

Card 2

Front

Finding the equation of a curve given the gradient function

Back

Integrate the gradient function and sub in co-ordinate of x

Card 3

Front

To find area between a curve and the x axis

Back

Preview of the front of card 3

Card 4

Front

To find area between a curve and the y axis

Back

Preview of the front of card 4

Card 5

Front

Tip

Back

Preview of the front of card 5
View more cards

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