What is the integral of+ln(3)e^x ?

The integral of+ln(3)e^x is ln(3)e^x+C

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integral of+ln(3)e^x

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

ln (3) e^{x} + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= ln (3) \cdot \int e^{x} d x

Use the common integral:

\int e^{x} d x = e^{x}

= ln (3) e^{x}

Add a constant to the solution

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

\int 3 x - 1 d x

\int s e^{- s x y} d x

\frac{5 - x e ^{x}}{x + e ^{x}}

\int \frac{( 3 x ^{3} - 4 x ^{2} + 3 x )}{x ^{2} + 1} d x

z \to 1 lim (A r g (z))