integral of 4^{10x}

解答

\int 4^{10 x} d x

\frac{2 ^{20 x - 2}}{5 ln ( 2 )} + C

求解步骤

\int 4^{10 x} d x

化简

4^{10 x} : 104857 6^{x}

= \int 104857 6^{x} d x

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

= \frac{104857 6 ^{x}}{ln ( 1048576 )}

化简

\frac{104857 6 ^{x}}{ln ( 1048576 )} : \frac{2 ^{20 x - 2}}{5 ln ( 2 )}

= \frac{2 ^{20 x - 2}}{5 ln ( 2 )}

解答补常数

= \frac{2 ^{20 x - 2}}{5 ln ( 2 )} + C

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