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

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

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

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

\frac{π}{2} erf (t)

Solution steps

\int_{0}^{t} 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}^{t}

Compute the boundaries:

\frac{π}{2} erf (t)

= \frac{π}{2} erf (t)

n = 0 \sum \infty (- 3 x)^{n}

x \to 0 lim (1 - cos^{2} (x))

\int (4 + t) d t

y = 3 x^{2} + 2 x, (- 1, 1)

\int ln (y^{2} + 1) d y

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