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

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

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

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

\frac{π}{2} erf (x)

Solution steps

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

Use the nonelementary integral:

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

= [\frac{π}{2} erf (x)]_{0}^{x}

Compute the boundaries:

\frac{π}{2} erf (x)

= \frac{π}{2} erf (x)

\int \frac{2 x ^{4} + 5 x ^{3} - x}{x ^{3}} d x

\int_{1}^{8} \frac{x}{8 + x ^{2}} d x

x \to - 1 - lim (∣ x ∣ - 3)

\int \frac{e ^{8 x}}{e ^{5 x}} d x

(0, - 6), (5, - 3)

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