Question

Integral indefinida

Answer 1

Resposta:

Explicação passo-a-passo:

$\int{(cos(t)+\frac{e^{t}}{2}+\sqrt[3]{t}-\frac{1}{t^{2}}+\frac{2}{t})dt=\int {cos(t)dt+\int{\frac{e^{t}}{2}dt+\int{\sqrt[3]{t}}dt-\int{\frac{1}{t^{2}}}dt+\int{\frac{2}{t}}dt=sen(t)+\frac{e^{t}}{2}}+$$+\frac{t^{\frac{4}{3}}}{\frac{4}{3}}-t^{-1}+2lnt=sen(t)+\frac{e^{t}}{2}+\frac{3}{4}.t^{\frac{4}{3}}-\frac{1}{t}+2ln(t)=sen(t)+\frac{e^{t}}{2}+\frac{3}{4}\sqrt[3]{t^{4}}-\frac{1}{t}+2ln(t) + C$