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

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

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integral of (3e^x)

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

3 e^{x} + C

Solution steps

\int 3 e^{x} d x

Take the constant out:

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

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

Use the common integral:

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

= 3 e^{x}

Add a constant to the solution

= 3 e^{x} + C

\frac{d}{d x} ((\frac{x ^{2} + 1}{x ^{2} - 1})^{7})

\frac{d}{d x} (x^{3} + 4)

\frac{6}{x ^{2} + 4}

\frac{\partial}{\partial x} (4 π^{2} \frac{y}{x ^{2}})

arctan (2 x)