integral from 0 to 3 of 5^x

解答

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

\frac{124}{ln ( 5 )}

十进制

77.04553 \dots

求解步骤

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

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

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

带入上下限计算后得:

\frac{124}{ln ( 5 )}

= \frac{124}{ln ( 5 )}

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