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人気のある微分積分 >

integral from-1 to 2 of kx^2

解

\int_{- 1}^{2} k x^{2} d x

解

k \cdot 3

解答ステップ

\int_{- 1}^{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_{- 1}^{2} x^{2} d x

べき乗則を適用する

= k [\frac{x ^{3}}{3}]_{- 1}^{2}

限度を計算する:

3

= k \cdot 3

人気の例

integral from-1 to 0 of 1/(x^4)

\int_{- 1}^{0} \frac{1}{x ^{4}} d x

integral from 2 to 1 of sin(x)

\int_{2}^{1} sin (x) d x

integral from 0 to 2x+y of 1

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integral from 0 to 2 of sqrt(1+(e^x)^2)

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integral from 0 to 10 of t+4

\int_{0}^{10} t + 4 d t