The set of values of for which the inequality is true is

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The set of values of aa for which the inequality ∫a0(3−2x−2⋅3−x) dx≥0\int_a^0\left(3^{-2x}-2\cdot3^{-x}\right)\,dx\geq0 is true is (1) [0,1][0,1] (2) (−∞,−1](-\infty,-1] (3) [0,∞)[0,\infty) (4) (−∞,−1]∪[0,∞)(-\infty,-1]\cup[0,\infty)

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