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

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

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

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

- \frac{e ^{2 x}}{x} + 2 Ei (2 x) + C

Solution steps

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

Apply Integration By Parts

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

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

\int - \frac{2 e ^{2 x}}{x} d x = - 2 Ei (2 x)

= - \frac{e ^{2 x}}{x} - (- 2 Ei (2 x))

Simplify

= - \frac{e ^{2 x}}{x} + 2 Ei (2 x)

Add a constant to the solution

= - \frac{e ^{2 x}}{x} + 2 Ei (2 x) + C

\frac{1}{x - 1}, 18

sin (x), cos (x)

x \to 5 - lim (25 - x^{2})

y = x, (81, 9)

x \to 0 lim (sin (x))

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