A-level Mathematics/OCR/C2/Integration/Solutions

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Worked Solutions[edit]

1a)

Using our rule: That is equal to
We get:

b)

Again using our rule, we would get:

2a)

given that the point lies on the curve.
Using our rule, the intergral becomes
Now we can sub in our points , So that:
Therefore C = 3

b)

Evaulating this we get:
Given (2,2), subing these points in:

3a)

Evaluating this we get:
Substituting in values we get:


b)

Evaluating this we get:



IntegrationProblemGraph.png

4)

The question is simply to evaluate this definite integral:

5 )