What is the integral from 0 to x^3 of e^{x^2} ?

The integral from 0 to x^3 of e^{x^2} is (sqrt(pi))/2 \erfi(x^3)

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integral from 0 to x^3 of e^{x^2}

\int_{0}^{x^{3}} e^{x^{2}} d x

\frac{π}{2} erfi (x^{3})

Solution steps

\int_{0}^{x^{3}} 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)]_{0}^{x^{3}}

Compute the boundaries:

\frac{π}{2} erfi (x^{3})

= \frac{π}{2} erfi (x^{3})

\int_{- 2}^{4} (x) d x

\int_{0}^{\infty} x e^{- y x} d x

\int_{- \infty}^{- 4} \frac{7}{x ^{3}} d x

\int_{0}^{1} x 99 x^{2} + 1 d x

\int_{- 2}^{1} 4 - x^{2} - x - 2 d x

What is the integral from 0 to x^3 of e^{x^2} ?
The integral from 0 to x^3 of e^{x^2} is (sqrt(pi))/2 \erfi(x^3)