What is the integral of ((e^{2x}))/x ?

The integral of ((e^{2x}))/x is \Ei(2x)+C

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integral of ((e^{2x}))/x

integral

\frac{( e ^{2 x} )}{x}

Ei (2 x) + C

Solution steps

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

Apply u-substitution

: \int \frac{e ^{u}}{u} d u

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

Use the nonelementary integral:

\int \frac{e ^{x}}{x} d x = Ei (x)

= Ei (u)

Substitute back

u = 2 x

= Ei (2 x)

Add a constant to the solution

= Ei (2 x) + C

2 x^{3} (e^{x})^{2}

2 x^{3} \cdot e^{- x}

\frac{y}{x ^{2} + y ^{2}}

2 + x

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

What is the integral of ((e^{2x}))/x ?
The integral of ((e^{2x}))/x is \Ei(2x)+C