Question

Resolva a integral:

Z 5(5x + 3)3 dx

Answer 1

Resposta:

Olá,

Temos que:

∫ 5 (5x + 3)³ dx

Fazendo u = 5x + 3

du = 5dx

∫ 5 (5x + 3)³ dx = ∫ (5x + 3)³ 5dx

                        = ∫ (u)³ du

                        = u^4/4 + C

                        = (5x + 3)^4/4 + C     (já que u = 5x + 3)