Calcular as integrais: a) ∫ dx b) ∫ xdx c) ∫ x3dx d) ∫2x5dx e)∫(2x )3 2dx f) ∫(3x )23dx g)∫ x−3dx h) ∫ (2 x3− x2+5 x )dx i) ∫( x4/3−3 x2−1 )dx j) ∫...

a) ∫ dx = x + C b) ∫ xdx = x²/2 + C c) ∫ x³dx = x⁴/4 + C d) ∫ 2x⁵dx = 2x⁶/6 + C = x⁶/3 + C e) ∫ (2x)^(3/2)dx = (4/5)(2x)^(5/2) + C f) ∫ (3x)^(2/3)dx = (9/5)(3x)^(5/3) + C g) ∫ x^(-3)dx = -x^(-2)/2 + C h) ∫ (2x³ - x² + 5x)dx = (x⁴/2) - (x³/3) + (5x²/2) + C i) ∫ (x^(4/3) - 3x² - 1)dx = (3x^(7/3)/7) - (x³) - (x) + C j) ∫ (x² + 1)²xdx = (1/3)(x² + 1)³ + C k) ∫ √x dx = (2/3)x^(3/2) + C l) ∫ dx/√x = 2√x + C m) ∫ dx/x² = -1/x + C n) ∫ (x + √x)dx = (2/3)x^(3/2) + (2/5)x^(5/2) + C o) ∫ (x⁴ + x² - 5)/x² dx = ∫ (x² + 1)dx - 5∫ dx/x² = (1/3)(x² + 1) - 5(-1/x) + C p) ∫ (x² + 2x)/x dx = ∫ (x + 2)dx + ∫ 2dx/x = (1/2)x² + 2x + 2ln|x| + C q) ∫ (x⁵ + 2x - 5)/x⁴ dx = ∫ xdx/x³ + 2∫ dx/x⁴ - 5∫ dx/x³ = (1/2)x² - (2/3)x^(-3) + (5/2)ln|x| + C