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人気のある微分積分 >

integral of-4^x

解

\int - 4^{x} d x

解

- \frac{2 ^{2 x - 1}}{ln ( 2 )} + C

解答ステップ

\int - 4^{x} d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int 4^{x} d x

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

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

簡素化

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

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

定数を解答に追加する

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

グラフ

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