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人気のある微分積分 >

integral from 0 to 1 of 5^{2x}

解

\int_{0}^{1} 5^{2 x} d x

解

\frac{12}{ln ( 5 )}

+1

十進法表記

7.45601 \dots

解答ステップ

\int_{0}^{1} 5^{2 x} d x

簡素化

5^{2 x} : 2 5^{x}

= \int_{0}^{1} 2 5^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{2 5 ^{x}}{ln ( 25 )}]_{0}^{1}

簡素化

ln (25) : 2 ln (5)

= [\frac{2 5 ^{x}}{2 ln ( 5 )}]_{0}^{1}

限度を計算する:

\frac{12}{ln ( 5 )}

= \frac{12}{ln ( 5 )}

グラフ

人気の例

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