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人気のある微分積分 >

integral from-1 to 2 of (2x^2+5x^3y)

解

\int_{- 1}^{2} (2 x^{2} + 5 x^{3} y) d y

解

6 x^{2} + \frac{15 x ^{3}}{2}

解答ステップ

\int_{- 1}^{2} 2 x^{2} + 5 x^{3} y d y

総和規則を適用する:

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

= \int_{- 1}^{2} 2 x^{2} d y + \int_{- 1}^{2} 5 x^{3} y d y

\int_{- 1}^{2} 2 x^{2} d y = 6 x^{2}

\int_{- 1}^{2} 5 x^{3} y d y = \frac{15 x ^{3}}{2}

= 6 x^{2} + \frac{15 x ^{3}}{2}

人気の例

integral from-pi/2 to pi/2 of 2t+cos(t)

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\int_{0}^{20} x (20 - x) d x

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