All the values of a for which ∫ (a^2 + (4 - 4a)x + 4x^3)dx ≤ 12 are given by

Question

All the values of a for which \(\int\limits_1^2 (a^2 + (4 - 4a)x + 4x^3)dx\le 12\) are given by

a. a \(\le\) 4

b. a = 3

c. 0 \(\le\) a < 3

d. none of these

Answer 1

Correct option is b. a = 3