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人気のある微分積分 >

integral from 0 to 2 of \sqrt[3]{4x}

解

\int_{0}^{2} 3 4 x d x

解

3

解答ステップ

\int_{0}^{2} 3 4 x d x

部分積分を適用する

= [34 x 3 x - \int \frac{4 ^{\frac{1}{3}}}{3} x^{\frac{1}{3}} d x]_{0}^{2}

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

= [34 x 3 x - \frac{1}{2 3 2} x^{\frac{4}{3}}]_{0}^{2}

限度を計算する:

3

= 3

グラフ

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