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人気のある微分積分 >

integral from 2 to 4 of 2^{3x}

解

\int_{2}^{4} 2^{3 x} d x

解

\frac{1344}{ln ( 2 )}

+1

十進法表記

1938.98213 \dots

解答ステップ

\int_{2}^{4} 2^{3 x} d x

簡素化

2^{3 x} : 8^{x}

= \int_{2}^{4} 8^{x} d x

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

= [\frac{8 ^{x}}{ln ( 8 )}]_{2}^{4}

簡素化

ln (8) : 3 ln (2)

= [\frac{8 ^{x}}{3 ln ( 2 )}]_{2}^{4}

限度を計算する:

\frac{1344}{ln ( 2 )}

= \frac{1344}{ln ( 2 )}

グラフ

人気の例

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\int_{0}^{6} (4 t - 1)^{2} d t

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