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人気のある微分積分 >

integral from 0 to log_{3 of (4)}3^x

解

\int_{0}^{l o g_{3} (4)} 3^{x} d x

解

\frac{3}{ln ( 3 )}

+1

十進法表記

2.73071 \dots

解答ステップ

\int_{0}^{l o g_{3} (4)} 3^{x} d x

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

= [\frac{3 ^{x}}{ln ( 3 )}]_{0}^{l o g_{3} (4)}

簡素化

lo g_{3} (4) : 2 lo g_{3} (2)

= [\frac{3 ^{x}}{ln ( 3 )}]_{0}^{2 l o g_{3} (2)}

限度を計算する:

\frac{3}{ln ( 3 )}

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

グラフ

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