Calculus Examples

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

Step 1

$\int_{0}^{x} e^{- t^{2}} d t$ is a special integral. The integral is the error function.

$erf (t)]_{0}^{x}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $erf (t)$ at $x$ and at $0$ .

$(erf (t)) - erf (t)$

Step 2.2

Subtract $erf (t)$ from $erf (t)$ .

$0$