TÌM NGUYÊN HÀM $ F(X) = \INT {{3^X}\LEFT( {1 – {{\LEFT( {\FRAC{E}{3}} \RIGHT)}^X}} \RIGHT)DX} .$
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Level:
Medium
Question Types: Multiple choice
Answers:
- $ F(x) = \\\frac{{{3^x}}}{{\\\ln 3}} - \\\frac{{{{(\\\frac{e}{3})}^x}}}{{\\\ln \\\frac{e}{3}}} + C,\\\;C \\\in R.$
- $ F(x) = {3^x}\\\ln 3 - {e^x} + C,\\\;C \\\in R.$
- $ F(x) = {3^x} - {e^x} + C,\\\;C \\\in R.$
- $ F(x) = \\\frac{{{3^x}}}{{\\\ln 3}} - {e^x} + C,\\\;C \\\in R.$