Evaluate and transform a definite integral practice questions | Mathematical Methods (Year 12, VCE Units 3 & 4)

(a)3 marks

Choose the primitive with constant term zero

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

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

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

(b)2 marks

Evaluate this primitive at each ordered endpoint

F(t)=\frac{1}{2}t^{2}+2t

F(lower) F(upper)

(c)1 mark

Give the exact value of I

Exact value