Evaluate (int_{1}^{2} (2 + 2x – 3x^{2}) mathrm {d} x).
-
A.
-2 -
B.
2 -
C.
8 -
D.
10
Correct Answer: Option A
Explanation
(int_{1}^{2} (2 + 2x – 3x^{2}) mathrm {d} x)
= ((2x + x^{2} – x^{3})|_{1}^{2})
= ((2(2) + 2^{2} – 2^{3}) – (2(1) + 1^{2} – 1^{3}))
= (0 – 2 = -2)