integral of 8^{5x}

解答

\int 8^{5 x} d x

\frac{3276 8 ^{x}}{15 ln ( 2 )} + C

求解步骤

\int 8^{5 x} d x

化简

8^{5 x} : 3276 8^{x}

= \int 3276 8^{x} d x

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

= \frac{3276 8 ^{x}}{ln ( 32768 )}

化简

ln (32768) : 15 ln (2)

= \frac{3276 8 ^{x}}{15 ln ( 2 )}

解答补常数

= \frac{3276 8 ^{x}}{15 ln ( 2 )} + C

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