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Exercise

$x^6\left(\frac{d}{dx}\right)y^2+y^6\left(\frac{d}{dx}\right)x^2$

Step-by-step Solution

1

Factor the polynomial $x^6\frac{d}{dx}y^2+y^6\frac{d}{dx}x^2$ by it's greatest common factor (GCF): $x^2\frac{d}{dx}y^2$

$x^2\frac{d}{dx}y^2\left(x^{4}+y^{4}\right)$

Final answer to the exercise

$x^2\frac{d}{dx}y^2\left(x^{4}+y^{4}\right)$

Try other ways to solve this exercise

  • Choose an option
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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