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人気のある微分積分 >

integral from 1 to 2 of 4^x

解

\int_{1}^{2} 4^{x} d x

解

\frac{6}{ln ( 2 )}

+1

十進法表記

8.65617 \dots

解答ステップ

\int_{1}^{2} 4^{x} d x

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

= [\frac{4 ^{x}}{ln ( 4 )}]_{1}^{2}

\frac{4 ^{x}}{ln ( 4 )} = \frac{2 ^{2 x - 1}}{ln ( 2 )}

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

限度を計算する:

\frac{6}{ln ( 2 )}

= \frac{6}{ln ( 2 )}

グラフ

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