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Find complete families of polynomial anti-derivatives

DIFFICULTYintroexam
QUESTION TYPEMix of allChange
Question 1 of 8

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Reverse differentiation one term at a time

\[g(x)=-3\]

Find the complete family of anti-derivatives, including one arbitrary constant C

(a)2 marks

P denotes the anti-derivative with zero constant term. Enter 0 for its constant coefficient

Enter every coefficient in descending powers, including zero for an absent term

\[P(x)=A_1x+A_0\]
(b)1 mark

Select the complete family. C denotes an arbitrary real constant

(c)1 mark

Enter the highest power in the anti-derivative polynomial