integral from 6 to 7 of 3^x

解答

\int_{6}^{7} 3^{x} d x

\frac{1458}{ln ( 3 )}

十进制

1327.12879 \dots

求解步骤

\int_{6}^{7} 3^{x} d x

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

= [\frac{3 ^{x}}{ln ( 3 )}]_{6}^{7}

带入上下限计算后得:

\frac{1458}{ln ( 3 )}

= \frac{1458}{ln ( 3 )}

\int_{1}^{\infty} arccot (x) d x

\int_{0}^{\frac{3 π}{2}} 7 sin (x) d x

\int_{0}^{1} x^{3} e^{- 4 x} d x

\int_{0}^{20} 840 - 42 x d x

\int_{0}^{18} ∣ x - 9 ∣ d x