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人気のある微分積分 >

f^'(x)=x^3+6x^2

解

f^{^{'}} (x) = x^{3} + 6 x^{2}

解

f (x) = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

解答ステップ

f^{'} (x) = x^{3} + 6 x^{2}

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

であれば

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

f (x) = \int x^{3} + 6 x^{2} d x

\int x^{3} + 6 x^{2} d x = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

f (x) = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

グラフ

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