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

The integral of (e^x)/3 is 1/3 e^x+C

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integral of (e^x)/3

\int \frac{e ^{x}}{3} d x

\frac{1}{3} e^{x} + C

Solution steps

\int \frac{e ^{x}}{3} d x

Take the constant out:

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

= \frac{1}{3} \cdot \int e^{x} d x

Use the common integral:

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

= \frac{1}{3} e^{x}

Add a constant to the solution

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

\int cos (3 x y) d x

\frac{d}{d t} (tan (3 t))

n = 1 \sum \infty \frac{2}{3 ^{2 n}}

y^{^{'''}} + 4 y^{^{'}} = sec (2 x)

x \to 0 lim (3 π)