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人気のある微分積分 >

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

解

\int_{- 1}^{0} (2 x + e^{x}) d x

解

- \frac{1}{e}

+1

十進法表記

- 0.36787 \dots

解答ステップ

\int_{- 1}^{0} 2 x + e^{x} d x

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}^{0} 2 x d x + \int_{- 1}^{0} e^{x} d x

\int_{- 1}^{0} 2 x d x = - 1

\int_{- 1}^{0} e^{x} d x = 1 - \frac{1}{e}

= - 1 + 1 - \frac{1}{e}

簡素化

= - \frac{1}{e}

グラフ

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