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人気のある微分積分 >

integral from 0 to 3 of 5^{4x}

解

\int_{0}^{3} 5^{4 x} d x

解

\frac{61035156}{ln ( 5 )}

+1

十進法表記

37923274.65909 \dots

解答ステップ

\int_{0}^{3} 5^{4 x} d x

簡素化

5^{4 x} : 62 5^{x}

= \int_{0}^{3} 62 5^{x} d x

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

= [\frac{62 5 ^{x}}{ln ( 625 )}]_{0}^{3}

簡素化

ln (625) : 4 ln (5)

= [\frac{62 5 ^{x}}{4 ln ( 5 )}]_{0}^{3}

限度を計算する:

\frac{61035156}{ln ( 5 )}

= \frac{61035156}{ln ( 5 )}

グラフ

人気の例

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