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Simplify $-3x^5+2x^3-3x+\frac{2}{x^2}+1$

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 Solution

 Videos

Derivative

$\frac{d}{dx}\left(-3x^5+2x^3-3x+\frac{2}{x^2}+1\right)=-15x^{4}+6x^{2}-3+\frac{-4x}{x^{4}}$ See full solution 

Integral

$\int\left(-3x^5+2x^3-3x+\frac{2}{x^2}+1\right)dx=-\frac{1}{2}x^{6}+\frac{1}{2}x^{4}-\frac{3}{2}x^2+\frac{-2}{x}+x+C_0$ See full solution 