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Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the x-axis. The second graph has some area above and some below the x-axis.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
J. Richard Snape was given access to the Definite integrals 5 years, 9 months ago
Anna Strzelecka 5 years, 10 months ago
Created this as a copy of Maria's copy of Integration: Calculating the area under a curve.There are 55 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| x11 | integer |
1
|
||||
| x12 | integer |
4
|
||||
| a1 | integer |
1
|
||||
| b1 | integer |
2
|
| Name | Type | Generated Value |
|---|
| x21 | integer |
-3
|
||||
| x22 | integer |
0
|
||||
| a2 | integer |
1
|
||||
| c2 | integer |
4
|
||||
| area2 | number |
21
|
| Name | Type | Generated Value |
|---|
| a3 | integer |
-1
|
||||
| b3 | integer |
2
|
||||
| x31 | integer |
0
|
||||
| x32 | integer |
2
|
||||
| x33 | integer |
4
|
||||
| area3 | number |
12
|
| Name | Type | Generated Value |
|---|
| a4 | integer |
-3
|
||||
| b4 | integer |
-1
|
||||
| c4 | integer |
1
|
||||
| x41 | integer |
-3
|
||||
| x42 | integer |
-1
|
Generated value: integer
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
{plotgraph1(2,x21,x22,-5,25,a2,0,c2)}
This graph represents the function $f(x) = \simplify{{a2}*x^2+{c2}}$.
Use integration to calculate the area of the shaded region. Give your answer correct to 3 decimal places.
A =
Use this tab to check that this question works as expected.
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