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Average value of a function

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
polynomial:2:exact:2polynomial:3:exact:3polynomial:2:exact:3/2NOWMix of allRecommended
Question 1 of 8

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Work with the displayed function over the displayed interval

\[p(x)=3\,x^{2} + 2\,x + 3\]
\[x\in[1,\;3]\]

Give exact values

(a)1 mark

Find the average value over the interval

Format: Exact value
(b)2 marks

Enter the definite integral and the interval width