Final answer to the problem
$x+\frac{-2x^{\frac{-1+m^2+m}{m}}m}{-1+m^2+m}+\frac{x^{\left(2m+\frac{-2}{m}+1\right)}}{2m+\frac{-2}{m}+1}+C_0$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
Can't find a method? Tell us so we can add it.
1
Simplify the expression
Learn how to solve problems step by step online.
$\int\frac{\left(x^{\frac{1}{m}}-x^m\right)^2}{x^{\frac{2}{m}}}dx$
Learn how to solve 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
$x+\frac{-2x^{\frac{-1+m^2+m}{m}}m}{-1+m^2+m}+\frac{x^{\left(2m+\frac{-2}{m}+1\right)}}{2m+\frac{-2}{m}+1}+C_0$
