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 \frac{x ^{4} + 9}{x ^{4} + 9 x ^{2}} d x

\frac{1}{( s + 6 ) ( s - 4 )}

\frac{d}{d x} (4^{(8 x^{4} + c o s (x))^{3}})

\int 4 x^{3} - 3 x^{2} + 4 x - 3 d x

t^{2} - t \cdot y \cdot y^{^{'}} + y^{2} = 0