Question

Resposta dessa integral

Answer 1

∫ (x²-4)/(x-2) dx = ∫ ((x-2)(x+2))/(x-2) = ∫ (x+2) dx = ∫ x dx + 2 ∫ dx
∫ x dx = x²/2 
2 ∫ dx = 2x

Logo, temos:
x²/2 + 2x com x=1 até x=3
[3²/2 + 2(3)] - [(1²/2 + 2(1)] = 9/2 + 6 - 1/2 - 2 = 8/2 + 4 = 4 + 4 = 8