Question

Resolva a integral indefinida, questão na foto.​

Answer 1

Resposta:

Explicação passo-a-passo:

$\int\limits ({7\sqrt[5]{x^{2}}+\frac{3}{x^{3}}}) \, dx=\int\limits ({7x^{\frac{2}{5}}+3.x^{-3}) \, dx=7.\dfrac{x^{\frac{2}{5}+\frac{5}{5}}}{\frac{2}{5}+\frac{5}{5}}+3.\frac{x^{-3+1}}{(-3+1)}=$

$=7.\dfrac{x^{\frac{7}{5}}}{\frac{7}{5}}+3.\frac{x^{-2}}{(-2)}=7.x^{\frac{7}{5}}.\dfrac{5}{7}-\dfrac{3x^{-2} }{2}=5.x^{\frac{7}{5}}-\dfrac{3x^{-2} }{2}+C$