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人気のある微分積分 >

integral from 1 to 5 of 3^{2x}

解

\int_{1}^{5} 3^{2 x} d x

解

\frac{29520}{ln ( 3 )}

+1

十進法表記

26870.26197 \dots

解答ステップ

\int_{1}^{5} 3^{2 x} d x

簡素化

3^{2 x} : 9^{x}

= \int_{1}^{5} 9^{x} d x

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

= [\frac{9 ^{x}}{ln ( 9 )}]_{1}^{5}

簡素化

ln (9) : 2 ln (3)

= [\frac{9 ^{x}}{2 ln ( 3 )}]_{1}^{5}

限度を計算する:

\frac{29520}{ln ( 3 )}

= \frac{29520}{ln ( 3 )}

グラフ

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