What is the integral of 1/2 e^x ?

The integral of 1/2 e^x is 1/2 e^x+C

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integral of 1/2 e^x

\int \frac{1}{2} e^{x} d x

\frac{1}{2} e^{x} + C

Solution steps

\int \frac{1}{2} e^{x} d x

Take the constant out:

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

= \frac{1}{2} \cdot \int e^{x} d x

Use the common integral:

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

= \frac{1}{2} e^{x}

Add a constant to the solution

= \frac{1}{2} e^{x} + C

y^{^{'}} - \frac{y}{3} = 0

\frac{d}{d x} (4 sin^{3} (2 x))

\int \frac{1}{( w ^{2} + 5 ) ^{\frac{3}{2}}} d w

x \to 1 - lim (\frac{x}{x ^{2} + 1})

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