Final answer to the problem
$x+\frac{-2x^{\frac{-1+m^2+m}{m}}m}{-1+m^2+m}+\frac{x^{\left(2m+\frac{-2}{m}+1\right)}}{2m+\frac{-2}{m}+1}+C_0$
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Step-by-step Solution
Learn how to solve integrals with radicals problems step by step online. Integrate int(((x^(1/m)-x^(2m)^(1/2))/(x^(1/m)))^2)dx. Simplify the expression. Expand \left(x^{\frac{1}{m}}-x^m\right)^2. Simplify the expression. Expand the fraction \frac{x^{\frac{2}{m}}-2x^{\frac{1+m^2}{m}}+x^{2m}}{x^{\frac{2}{m}}} into 3 simpler fractions with common denominator x^{\frac{2}{m}}.
Final answer to the problem
$x+\frac{-2x^{\frac{-1+m^2+m}{m}}m}{-1+m^2+m}+\frac{x^{\left(2m+\frac{-2}{m}+1\right)}}{2m+\frac{-2}{m}+1}+C_0$
