What is the integral of 12e^x ?

The integral of 12e^x is 12e^x+C

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integral of 12e^x

\int 12 e^{x} d x

12 e^{x} + C

Solution steps

\int 12 e^{x} d x

Take the constant out:

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

= 12 \cdot \int e^{x} d x

Use the common integral:

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

= 12 e^{x}

Add a constant to the solution

= 12 e^{x} + C

\frac{6 t d y}{d t} + y = t^{6}

\frac{d}{d x} (sin (3))

x \to 0 + lim (\frac{1}{x ^{\frac{3}{2}}})

\frac{d p}{( p - 2 )} = (1 - 2 t) d t

\frac{d x}{d t} = 0.03 x + 3600 t