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

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

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

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

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

Solution steps

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

Apply Integration By Parts

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

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

\int - 2 e^{x^{2}} d x = - π erfi (x)

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

Simplify

= - \frac{e ^{x^{2}}}{x} + π erfi (x)

Add a constant to the solution

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

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