integral de (3e^3)^x

Solución

\int (3 e^{3})^{x} d x

\frac{1}{ln ( 3 ) + 3} (3 e^{3})^{x} + C

Pasos de solución

\int (3 e^{3})^{x} d x

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

= \frac{( 3 e ^{3} ) ^{x}}{ln ( 3 e ^{3} )}

Simplificar

\frac{( 3 e ^{3} ) ^{x}}{ln ( 3 e ^{3} )} : \frac{1}{ln ( 3 ) + 3} (3 e^{3})^{x}

= \frac{1}{ln ( 3 ) + 3} (3 e^{3})^{x}

Agregar una constante a la solución

= \frac{1}{ln ( 3 ) + 3} (3 e^{3})^{x} + C

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