1a Questão Calcule as seguintes integrais: a) ∫ +19 2x dx b) ∫ − 3 1 2)2(x dx c) ∫ xdxx arctan d) ∫ +− xxx dx 106 23 e) ∫ 1 0 ln xdxx a) ∫ +19 2x d...

a) ∫ +1 9 2x dx = x² |+1 9 = (9)² - (1)² = 80 b) ∫ -3 1 2(x dx = x² | -3 1 = (1)² - (-3)² = -8 c) ∫ xdx = (x²/2) * arctan(x) - (1/2) * ln|1 + x²| |+∞ -∞ = 0 d) ∫ -1 0 x dx + ∫ 0 6 x dx + ∫ 6 3 x dx = (-1/2) + (1/2) + (27/2) = 13 e) ∫ 1 0 ln(x) dx = -x * ln(x) - x |+1 0 = -1 * ln(1) - 1 - (-0 * ln(0) - 0) = -1