What is the solution for f^'(x)=x^{-3}+pix^2-sqrt(2) ?

The solution for f^'(x)=x^{-3}+pix^2-sqrt(2) is f(x)=-1/(2x^2)+(pix^3)/3-sqrt(2)x+c_{1}

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f^'(x)=x^{-3}+pix^2-sqrt(2)

f^{^{'}} (x) = x^{- 3} + π x^{2} - 2

f (x) = - \frac{1}{2 x ^{2}} + \frac{π x ^{3}}{3} - 2 x + c_{1}

Solution steps

f^{'} (x) = x^{- 3} + π x^{2} - 2

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int x^{- 3} + π x^{2} - 2 d x

\int x^{- 3} + π x^{2} - 2 d x = - \frac{1}{2 x ^{2}} + \frac{π x ^{3}}{3} - 2 x + c_{1}

f (x) = - \frac{1}{2 x ^{2}} + \frac{π x ^{3}}{3} - 2 x + c_{1}

f (2) = 10 - 3 x

x \to 2 + lim (2 x)

\int e^{x^{3}} (3 x^{2}) d x

\int cos (x) sin^{3} (x) d x

(3 y^{2} + 2 x y) d x - (2 x y + x^{2}) d y = 0

What is the solution for f^'(x)=x^{-3}+pix^2-sqrt(2) ?
The solution for f^'(x)=x^{-3}+pix^2-sqrt(2) is f(x)=-1/(2x^2)+(pix^3)/3-sqrt(2)x+c_{1}