Calcule as integrais abaixo: a) ∫0 -2 |x+1|dx b) ∫xex/(x+1)^2dx c) ∫π/2 0 x^2sen^2xdx d) ∫secxdx e) ∫e^(2x)cos(3x)dx f) ∫sen(lnx)dx (Rta: 1) (Rta: ...

a) ∫0 -2 |x+1|dx = ∫0 -1 -(x+1)dx + ∫-1 -2 (x+1)dx = (-1/2) - (-3/2) = 1 b) ∫xex/(x+1)^2dx = e^x/(x+1) + C c) ∫π/2 0 x^2sen^2xdx = π/2 - 4/8 = π/2 - 1/2 d) ∫secxdx = ln|secx + tanx| + C e) ∫e^(2x)cos(3x)dx = e^(2x)/13(3sen(3x) + 2cos(3x)) + C f) ∫sen(lnx)dx = 1/2(-x*cos(lnx) + xsen(lnx)) + C