Question

Evaluate the integral using the following values.

8
∫ x^3 dx = 1020
2

8
∫ x dx = 30
2

8
∫ dx = 6
2

2
∫ x^3 dx = ?
2

Answer 1

Looks like you have the answers correct.

For the last one, recall that

∫[a,b] f(x) dx = F(b)-F(a)
So,
∫[a,a] f(x) dx = F(a)-F(a) = 0

Answer 2

Can't believe I forgot about that simple rule, thanks for the recall!