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人気のある微分積分 >

integral from-infinity to 2 of θe^θ

解

\int_{- \infty}^{2} θ e^{θ} d θ

解

e^{2}

+1

十進法表記

7.38905 \dots

解答ステップ

\int_{- \infty}^{2} θ e^{θ} d θ

不定積分を計算する:

\int θ e^{θ} d θ = e^{θ} θ - e^{θ} + C

限度を計算する:

\int_{- \infty}^{2} θ e^{θ} d θ = e^{2} - 0

= e^{2} - 0

簡素化

= e^{2}

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