Question

Dada a integral ∫√x+1 dx será?

Answer 1

Resposta:

se for ∫ √(x +1) dx

u= x+1  ==> du =dx

∫ √u du  = ∫ u^(1/2) dx

=u^(1/2+1)/(1/2+1)  + c

=u^(3/2)/(3/2) + c

=(2/3) * √u³ + c

Como u = x+1 , ficamos então com:

=(2/3) * √(x+1)³ + c