Question

найти интеграл:(1-(1/x^3))*sqrt(x*sqrt(x))

Answer 1

(1-1/x^3)*(x*x^1/2)^1/2=(1-1/x^3)*x^(3/4)=x^3/4-x^(-9/4)

∫(x^3/4-x^(-9/4))dx=(4/7)*x^(7/4)+(4/5)*x^(-5/4)+C