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Popular Calculus >

integral of e^{(x)^2}

Solution

\int e^{(x)^{2}} d x

Solution

\frac{π}{2} erfi (x) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} erfi (x)

Add a constant to the solution

= \frac{π}{2} erfi (x) + C

Popular Examples

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Frequently Asked Questions (FAQ)

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