$\"\"$

The equation is $\"\\int$ .

The integrand is $\"\\frac{-6}{x^{4}}\"$ .

Consider the right side part $\"f(x)=\\frac{2}{x^3}+C\"$ .

Apply derivative on each side with respect to $\"x\"$ .

$\"\\frac{d}{dx}f(x)=\\frac{d}{dx}\\left$

$\"f\\'(x)=2\\left$

Apply differentiation formula $\"\\frac{d}{dx}C=0\"$ .

$\"=2\\frac{d}{dx}\\left$

Apply power rule of derivatives $\"\\frac{d}{dx}x^{n}=nx^{n-1}\"$ .

$\"=2(-3)\\left$

$\"=-6\\left$

$\"f\\'(x)=\\frac{-6}{x^{4}}\"$ .

The derivative of right side is equal to integrand.

$\"\\frac{d}{dx}\\left$ .

$\"\"$

$\"\\frac{d}{dx}\\left$ .