What is the integral of 19e^x ?

The integral of 19e^x is 19e^x+C

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integral of 19e^x

\int 19 e^{x} d x

19 e^{x} + C

Solution steps

\int 19 e^{x} d x

Take the constant out:

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

= 19 \cdot \int e^{x} d x

Use the common integral:

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

= 19 e^{x}

Add a constant to the solution

= 19 e^{x} + C

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

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

\frac{s}{s ( s ^{2} + s + 1 )}

\int x cos^{2} (8 x) d x

\frac{d y}{d x} = \frac{x + 2}{y}