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人気のある微分積分 >

integral from 0 to 2 of kx^2

解

\int_{0}^{2} k x^{2} d x

解

\frac{8 k}{3}

解答ステップ

\int_{0}^{2} k x^{2} d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= k \cdot \int_{0}^{2} x^{2} d x

べき乗則を適用する

= k [\frac{x ^{3}}{3}]_{0}^{2}

限度を計算する:

\frac{8}{3}

= k \frac{8}{3}

簡素化

= \frac{8 k}{3}

人気の例

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\int_{5}^{4} sin (t) d t

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integral from 0 to 1 of ksqrt(x)

\int_{0}^{1} k x d x

integral from 0 to x of xsin(x)

\int_{0}^{x} x sin (x) d x