1 of 8 0-day streak

Find complete families of polynomial anti-derivatives

Question 1 of 8

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Keep each coefficient exact while increasing its power

g(t)=-2t

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

(a)3 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(t)=A_2t^{2}+A_1t+A_0

\(\text{coefficient of }t^{2}\) \(\text{coefficient of }t\) \(\text{constant coefficient}\)

(b)1 mark

Select the complete family. C denotes an arbitrary real constant

F(t)=-2t+C

F(t)=-t^{2}

F(t)=t^{2}+C

F(t)=-t^{2}+C

Enter the highest power in the anti-derivative polynomial

Exact value