Question

calcule a integral $\int\limits \frac{1+\sqrt{x} +x} {x} \, dx$

Answer 1

Resposta:

lnx + 2[x^(1/2)] + x + c

Explicação passo-a-passo:

∫(1/x)dx + ∫(x^(1/2)]/x + ∫(x/x)dx

lnx + ∫(x^-1/2)dx + ∫1dx

lnx + [x^(1/2)]/(1/2) + x

lnx + 2[x^(1/2)] + x + c