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人気のある微分積分 >

f^'(x)=x^3(x^4-1)

解

f^{^{'}} (x) = x^{3} (x^{4} - 1)

解

f (x) = \frac{x ^{8}}{8} - \frac{x ^{4}}{4} + c_{1}

解答ステップ

f^{'} (x) = x^{3} (x^{4} - 1)

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

であれば

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

f (x) = \int x^{3} (x^{4} - 1) d x

\int x^{3} (x^{4} - 1) d x = \frac{x ^{8}}{8} - \frac{x ^{4}}{4} + c_{1}

f (x) = \frac{x ^{8}}{8} - \frac{x ^{4}}{4} + c_{1}

グラフ

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