What is the integral of e^{x/(50)} ?

The integral of e^{x/(50)} is 50e^{x/(50)}+C

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integral of e^{x/(50)}

\int e^{\frac{x}{50}} d x

50 e^{\frac{x}{50}} + C

Solution steps

\int e^{\frac{x}{50}} d x

Apply u-substitution

: \int e^{u} \cdot 50 d u

= \int e^{u} \cdot 50 d u

Take the constant out:

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

= 50 \cdot \int e^{u} d u

Use the common integral:

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

= 50 e^{u}

Substitute back

u = \frac{x}{50}

= 50 e^{\frac{x}{50}}

Add a constant to the solution

= 50 e^{\frac{x}{50}} + C

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

\frac{\partial}{\partial y} ((x^{2} + y^{2})^{\frac{1}{3}})

y^{^{'}} - y = 2 t e^{2 t}, y (0) = 1

sin (x y)

\int (\frac{5}{x} - 2 x^{3}) d x

What is the integral of e^{x/(50)} ?
The integral of e^{x/(50)} is 50e^{x/(50)}+C